Ok let's try this .....give a secular reason to a secular world. Think of what it was that got you interested in the bible or God?
Since it is by preaching the Gospel that God has chosen to save them that believe we should communicate it as the Holy Spirit taught it to us when we first heard. Since it is a "faith to faith?" message.
Faith comes by hearing and hearing by the word of God. There is a supernatural illumination that takes place by preaching Jesus and explaining the reason why sin separated from a Holy God until Jesus paid the price for our sins and rose again from the dead.
The invitation to come and dwell in us, make as white as snow, give us a purpose in life and grant us eternal life is the message that we must share whether it is to a skeptic or not.
There is no power in preaching something other than the Word of God to convince a skeptic. Scriptures should always be used whether preaching to Jews or Gentiles. There is power in the scriptures that other arguments don't have. The word of God has supernatural power. This must be accepted as fact and one should preach accordingly.
Even when you are paraphrasing and explaining scriptures you don't need to turn them into a fairy tale about lions and wardrobes, you must preach Jesus and the cross. This will penetrate the heart of the skeptic and the intellectual because everyone wants to find their purpose in life and everyone wants to live forever.
The Gospel that Jesus and Paul preached can be tailored toward a non Jew but should include the biblical story of redemption and how it has been God's plan to call all men to repent and put faith in Jesus Christ. Explaining the biblical message of God's plan of redemption for all mankind and not just for Jews, by teaching it from the bible is the best method to convince an intellectual who does not know the bible. No need to be ashamed of the word of God. Many skeptics are ignorant of the bible and everything they have heard about it was wrong. When the message of the reason why God had to send Jesus to live a sinless life and die for our sins in order that He, as a Holy Just God could legally forgive our sins, the intellectual and educated man who is familiar with concepts of law and justice will think it makes perfect sense.
No other name but Jesus Christ whereby a man might be saved from eternal punishment and consequences of sin because Jesus was the only one sent by God to die and rise again to pay for man's sin.
If they don't like the answer it is irrelevant. If they are inspired, and find the message logical, trustworthy and believable and embrace it as Good News it is not because you found a clever secular method of presentation or an intellectual key to the mind of the millennial, it is because the Holy Spirit used the word of God to penetrate and illuminate their minds and this is all the work of the Holy Spirit,
usually connected to their humility and repentance and not their skepticism.
It is not to the skeptic that you are sent to preach; it is to those who believe. There are those who's hearts have been prepared to receive the message you preach about Jesus and the condition of their hearts are good soil because of repentance, or a disposition of humility, ready to acknowledge the error of their ways. Until a person is ready to cry out to God in repentance they will not be convinced by your clever intellectual reasonings. Paul was the best at this and got Agrippa to the very point of saying "almost thou persuadest me to be a Christian" but what good did it do?
The Skeptic will be driven to darkness regardless of your presentation. The more powerful and anointed your presentation of Jesus the more the skeptic will be driven to darkness.
As a preacher of the Gospel we are an incense of odor for some people an order signaling life, to others a reminder of their death and judgment. Life unto life, or death unto death.