Central to the teachings of Islam is the idea of jihad, holy war. This is not a peaceful religion. Let's do a quick comparison.
You have heard that it was said, "An eye for an eye and a tooth for a tooth." But I tell you not to resist an evil person. But whoever slaps you on your right cheek, turn the other to him also. (Matthew 5:38-39)
Bless those who persecute you; bless and do not curse. (Romans 12:14)
Blessed are you when they revile and persecute you, and say all kinds of evil against you falsely for My sake. Rejoice and be exceedingly glad, for great is your reward in heaven, for so they persecuted the prophets who were before you. (Matthew 5:11-12)
Repay no one evil for evil. Have regard for good things in the sight of all men. If it is possible, as much as depends on you, live peaceably with all men. Beloved, do not avenge yourselves, but rather give place to wrath; for it is written, "Vengeance is Mine, I will repay," says the Lord. Therefore "If your enemy is hungry, feed him; if he is thirsty, give him a drink; for in so doing you will heap coals of fire on his head." Do not be overcome by evil, but overcome evil with good. (Romans 12:17-21)
A violent man entices his neighbor, and leads him in a way that is not good. (Proverbs 16:29)
And now, ladies and gentlemen, the Quran:
Then they proceeded: Until, when they met a young boy, he slew him. Moses said: "Hast thou slain an innocent person who had slain none? Truly a foul (unheard-of) thing hast thou done!" (S.18, A.74)
Muhammad is the Messenger of Allah; and those who are with him are strong against Unbelievers, (but) compassionate amongst each other. (S.48, A.29)
O ye who believe! Fight the Unbelievers who are near to you and let them find harshness in you: and know that Allah is with those who fear Him. (S.9, A.123)
As for the youth, his parents were people of Faith, and we feared that he would grieve them by obstinate rebellion and ingratitude (to Allah). So we desired that their Lord would give them in exchange (a son) better in purity (of conduct) and closer in affection. (S.18, A.80-81)
Fight in the cause of Allah those who fight you but do not transgress limits; for Allah loveth not transgressors. And slay them wherever ye catch them, and turn them out from where they have turned you out; for persecution is worse than slaughter; but fight them not at the Sacred Mosque, unless they (first) fight you there; but if they fight you, slay them. Such is the reward of those who reject faith. But if they cease, Allah is Oft-Forgiving, Most Merciful. And fight them on until there is no more persecution and the religion becomes Allah's. But if they cease, let there be no hostility except to those who practise oppression. (S.2, A.190-193)
And fight them [unbelievers] on until there is no more persecution, and religion becomes Allah's in its entirety but if they cease, verily Allah doth see all that they do. (S.8, A.38)
Let not the Unbelievers think that they have escaped, they will never frustrate (them). Against them make ready your strength to the utmost of your power, including steeds of war, to strike terror into (the hearts of) the enemies, of Allah and your enemies, and others besides, whom ye may not know, but whom Allah doth know. Whatever ye shall spend in the Cause of Allah, shall be repaid unto you, and ye shall not be treated unjustly. (S.8, A.60)
O Prophet! rouse the Believers to the fight. If there are twenty amongst you, patient and persevering, they will vanquish a thousand of the Unbelievers: for these are a people without understanding. (S.8, A.65)
But if they violate their oaths after their covenant, and attack your Faith, - fight ye the chiefs of Unfaith: For their oaths are nothing to them: That thus they may be restrained. Will ye not fight people who violated their oaths, plotted to expel the Messenger, and attacked you first? Do ye fear them? Nay, it is Allah whom ye should more justly fear, if ye believe! Fight them, and Allah will punish them by your hands, and disgrace them Help you (to victory) over them, heal the breasts of Believers. (S.9, A.12-14)
Fight those who believe not in Allah nor the Last Day, nor hold that forbidden which hath been forbidden by Allah and His Messenger, nor acknowledge the Religion of Truth, from among the People of the Book, until they pay the Jizya with willing submission, and feel themselves subdued. (S.9, A.29)
To those against whom War is made, permission is given (to fight), because they are wronged; - and verily, Allah is Most Powerful for their aid; - (They are) those who have been expelled from their homes in defiance of right, - (for no cause) except that they say, "Our Lord is Allah". (S.22, A.39-40)
Fighting is prescribed upon you, and ye dislike it. But it is possible that ye dislike a thing which is good for you, and that ye love a thing which is bad for you. But Allah knoweth, and ye know not. (S.2, A.216)
The number of months in the sight of Allah is twelve (in a year) - so ordained by Him the day He created the heavens and the earth; of them four are sacred: That is the right religion so wrong not yourselves therein, and fight the Pagans all together as they fight you all together. But know that Allah is with those who restrain themselves. (S.9, A.36)
Therefore, when ye meet the Unbelievers (in fight) smite at their necks; at length, when ye have thoroughly subdued them, bind (the captives) firmly: (S.47, A.4)
And slacken not in following up the enemy: if ye are suffering hardships, they are suffering similar hardships: (S.4, A.104)
Then fight in the cause of Allah, and know that Allah heareth and knoweth all things. (S.2, A.244)
Then fight in Allah's cause - Thou art held responsible only for thyself - and rouse the Believers. (S.4, A.84)
The punishment of those who wage war against Allah and His Messenger, and strive with might and main for mischief through the land is: execution, or crucifixion, or the cutting off of hands and feet from opposite sides, or exile from the land: That is their disgrace in this world, and a heavy punishment is theirs in the Hereafter; (S.5, A.33)
Truly Allah loves those who fight in His cause in battle array, as if they were a solid cemented structure. (S.61, A.4)
Let those fight in the cause of Allah who sell the life of this world for the Hereafter. To him who fighteth in the cause of Allah, - whether he is slain or gets victory - soon shall We give him a reward of great (value). And why should ye not fight in the cause of Allah and of those who, being weak, are ill-treated (and oppressed)? - men, women, and children, whose cry is: "Our Lord! Rescue us from this town. Whose people are oppressors; and raise for us from Thee one who will protect; and raise for us from Thee one who will help!" Those who believe fight in the cause of Allah and those who reject Faith fight in the cause of Evil (Tagut): So fight ye against the Friends, of Satan: feeble indeed is the cunning of Satan. (S.4, A.74-76)
Not equal are those Believers who sit (at home), except those who are disabled. And those who strive and fight in the cause of Allah with their goods and their persons. Allah hath granted a grade higher to those who strive and fight with their goods and persons than to those who sit (at home). Unto all (in Faith) hath Allah promised good: But those who strive and fight hath He distinguished above those who sit (at home) by a great reward. - (S.4, A.95)
Those who believe in Allah and the Last Day ask thee for no exemption from fighting with their goods and persons. And Allah knoweth well those who do their duty. Only those ask thee for exemption who believe not in Allah and the Last Day, and whose hearts are in doubt, so that they are tossed in their doubts to and fro. (S.9, A.44-45)
O Prophet! strive hard against the Unbelievers and the Hypocrites, and be firm against them. Their abode is Hell, - an evil refuge indeed. (S.9, A.73)
O Prophet! Strive hard against the Unbelievers and the Hypocrites, and be harsh with them. Their abode is Hell, - an evil refuge (indeed). (S.66, A.9)
Why should ye be divided into two parties about the Hypocrites? Allah hath cast them off for their (evil) deeds. Would ye guide those whom Allah hath thrown out of the Way? For those whom Allah hath thrown out of the Way, never shalt thou find the Way. They but wish that ye should reject Faith, as they do, and thus be on the same footing (as they): So take not friends from their ranks until they flee in the way of Allah (from what is forbidden). But it (sic) they turn renegades, seize them and slay them wherever ye find them; and (in any case) take no friends or helpers from their ranks: - (S.4, A.88-89, bold added)
Others you will find that wish to be secure from you as well as that of their people: Every time they are sent back to temptation, they succumb thereto: if they withdraw not from you nor give you (guarantees) of peace besides restraining their hands, seize them and slay them wherever ye get them: (S.4, A.91, bold added)
Soon shall We cast terror into the hearts of the Unbelievers, . . . (S.3, A.151)
But when the forbidden months are past, then fight and slay the Pagans wherever ye find them, and seize them, beleaguer them, and lie in wait for them in every stratagem (of war); but if they repent, and establish regular prayers. (sic) And pay Zakat then open the way for them: For Allah is Oft-forgiving, Most Merciful. (S.9, A.5, bold added)
Truly, if the Hypocrites, and those in whose hearts is a disease, and those who stir up sedition in the City, desist not, We shall certainly stir thee up against them: Then will they not be able to stay in it as thy neighbours for any length of time: They shall have a curse on them: wherever they are found, they shall be seized and slain. (S.33, A.60-61, bold added)
And there is the type of man who gives his life to earn the pleasure of Allah; and Allah is full of kindness to (His) devotees. (S.2, A.207)
Think not of those who are slain in Allah¹s way as dead. Nay, they live, finding their sustenance from their Lord. (S.3, A.169)
"Those who have left their homes, and were driven out therefrom, and suffered harm in My cause, and fought and were slain, - verily, I will blot out from them their iniquities, and admit them into Gardens with rivers flowing beneath; - a reward from Allah and from Allah is the best of rewards." (S.3, A.195)