This is not biblical, though. There is no biblical teaching like "you can divorce, repent and remarry".
To the married I give this command (not I, but the Lord): A wife must not separate from her husband. But if she does, she must remain unmarried or else be reconciled to her husband. And a husband must not divorce his wife.
1 Cor 7:10-11
If somebody does not want to risk a bad marriage - do not marry (which is the apostolic advice, anyway). If you marry, you must deal with the trouble.
You're dead wrong on a number of things. 1 Cor 7:10-11 is not a blanket ban on divorce and remarriage any more than Luke 18:22 is a ban on having money. The general rule is that you don't terminate a marriage absent some compelling reason - that is a material violation of the terms of the marital covenant. If you truly believe God expects us to stay married to someone who is vile, abusive, dissipated, or a cheater - then you seriously need to rethink your doctrine. Is that truly what you think of God!? Mere separation would not be an adequate remedy in many cases of serious sin.
Have you not read the words of Jesus at Matthew 5:17-18 and Luke 16:17? Does "one jot, one tittle, the least stroke of a pen" include Deuteronomy 24:1-4? It was the abuse of divorce to facilitate wife-swapping that Jesus condemned, not divorce and remarriage per se.
Also, have you also not read Paul's words at 1 Cor 7, verses 9 and 28? These verses make it clear that it is no sin to marry if you are unmarried, and "unmarried" means unmarried for any reason. There is no reason to believe these verses don't also apply to those who were divorced, and Paul made no mention of any such exception.
You are either married or you are not. It's that simple. Divorce ends the marriage just as death would - so if you have a valid divorce and have not remarried since, then you are unmarried. It's that simple. There is no biblical basis to the "still married in God's eyes" nonsense.
Marital vows are not a suicide pact. They can be terminated in the event of any material breach of the wedding vows (adultery, abuse, abandonment, drug use, refusal to provide sex, attempted murder, etc). It is asinine and brain-dead to assert that marital vows are binding and indissoluble regardless of how their spouses behave.
In a case of a troubled marriage, I usually recommend that divorce be treated as a remedy of last resort. I would not want to end a marriage if lesser remedies were feasible. But it serves no worthwhile purpose to deny divorce as a remedy in cases where the need to do so is compelling and where reconciliation is either impossible or inappropriate. Telling people that God would condemn them for seeking a divorce in such cases is blasphemous and slanderous to God.
In short, the marriage permanence heresy is just that: heresy.