Can the nonelect ever be born-again? (2 Kings 22:27) With the elect thou wilt be elect: and with the perverse thou wilt be perverted.

Too late for them, or is it?

Which makes absolutely zero sense. Again, words have meaning.

Where do you believe the nonelect exist after their final judgement?

Limited Atonement is FALSE
calvinism is false doctrine!

Romans 8:29,30
For whom he did foreknow, he also did predestinate to be conformed to the image of his Son, that he might be the firstborn among many brethren.
Moreover whom he did predestinate, them he also called: and whom he called, them he also justified: and whom he justified, them he also glorified.

Ephesians 5:1
Be ye therefore followers of God, as dear children

Romans 1:19-21
Because that which may be known of God is manifest in them; for God hath shewed it unto them.
For the invisible things of him from the creation of the world are clearly seen, being understood by the things that are made, even his eternal power and Godhead; so that they are without excuse:
Because that, when they knew God, they glorified him not as God, neither were thankful; but became vain in their imaginations, and their foolish heart was darkened.

Titus 2:11,12
For the grace of God that bringeth salvation hath appeared to all men,
Teaching us that, denying ungodliness and worldly lusts, we should live soberly, righteously, and godly, in this present world;

2 Peter 3:9
The Lord is not slack concerning his promise, as some men count slackness; but is longsuffering to us-ward, not willing that any should perish, but that all should come to repentance.

Acts 17:30
And the times of this ignorance God winked at; but now commandeth all men every where to repent:

John 12:32
And I, if I be lifted up from the earth, will draw all men unto me.

Hebrews 2:9
But we see Jesus, who was made a little lower than the angels for the suffering of death, crowned with glory and honour; that he by the grace of God should taste death for every man.

John 3:16
For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life.

Romans 12:3
For I say, through the grace given unto me, to every man that is among you, not to think of himself more highly than he ought to think; but to think soberly, according as God hath dealt to every man the measure of faith.

The Father sovereignly decided to make man in His own Image which is why all men have free will. He said in His Word than we are predestined to be conformed to the image of Jesus Christ (Romans 8:29), and we are to be followers of God as dear children (Ephesians 5:1)

God's Word says man is without excuse (Romans 1:20), the grace that brings salvation has come upon all men (Titus 2:11-13)

God's Word says it's not God's will that any perish and He wants all to come to repentance (2 Peter 3:9), and He has commanded men everywhere to repent (Acts 17:30), and has given every man faith (Romans 12:3)

Jesus said if He be lifted up He would draw all men until Himself (John 12:32), and Jesus has tasted of death for every man (Hebrews 2:9)

In light of all these scriptures, we can say for sure that limited atonement taught by John Calvin is false doctrine and is in opposition to what God says.

Of you believe God does not want all people to be saved, then how do you know that you are one of the elect?

Calvinism teaches that God allows some to "think" they are elect but in the end they were not elect at all.

Why don't you quit while you're ahead? You probably gave that one vote in the poll.

Red herring fallacy.

We will all find out.

Still trying to change the subject rather than address the dichotomy.

Yelling now? Your frustration is showing. I guess your feelings are hurt that nobody but you voted in your poll. It's okay, Mr. Biden... you'll get over it.

The Bible contains many passages of scripture, which could be refereed to support both views. Some Churches teach election and others don't believe or teach election.
It's a very deep theological subject, which has been debated for a long time. So the individual is left to choose between the various interpretations. There is no consensus in the Church on this issue.

How can we explain all of these away, without disposing them or skimming over them

It's a fact; the non-elect will never be born-again.

It's all going according to plan.

All those who are born again were once non-elect. So, of course.

11¶Wherefore remember, that ye being in time past Gentiles in the flesh, who are called Uncircumcision by that which is called the Circumcision in the flesh made by hands;
12That at that time ye were without Christ, being aliens from the commonwealth of Israel, and strangers from the covenants of promise, having no hope, and without God in the world:
13But now in Christ Jesus ye who sometimes were far off are made nigh by the blood of Christ.

you would wise to listen to him je sees the turth you see what you think it is saddening to see you fall sp far in yourself it isn't about God and his kingdom to you it is only what you decude is truth you will never know him at this rate and believe me you don't know him you are stuck in yourself

the plsn of the devil @Dino knows him he knows the kingdom you dp not your only are out for yourself what you think is truth and you wi;; be humbled when the time comes nut it will be to late at that time and people like @Dino will be raised and those of you will be lessened

Romans 8:33
Who shall accuse against the elect of God? God that justifieth.

Biblical election is to service, not salvation. Christ is God's elect. Did Christ need salvation? There are elect angels, chosen to serve God's purpose. It's not wise to get theology from a RCC priest.