Wa 3alykum assalam
Dear Beyond Tradition
I know these questions are for brother Joseph, I will in the mean time try to give you some evidence as to the facts that I understand from the Quran.
There is a clear verse that instructs believers not to take women forcibly or inherit them against their will (4:19).
Also in my humble opinion verse 4:128 seems to give the permission to separated couples to comeback together in peace without a need to re-establish the marriage process by insisting that there is no blame on them...
The verse seems to suggest the wife would be the one who initiated the separation or the one who fled from her husband due to fear of ill-treatment/rebellion/hatred/etc or desertion from her husband.
However if the problem has been solved and do not wish to divorce, there is no blame on them to reunite without the need of a marriage process again. This is further supported by 2 verses later 4:130 where if they wish to separate then God will compensate each out of His abundance.
4:19 O ye who believe! Ye are forbidden to inherit women against their will. Nor should ye treat them with harshness, that ye may Take away part of the dower ye have given them,-except where they have been guilty of open lewdness; on the contrary live with them on a footing of kindness and equity. If ye take a dislike to them it may be that ye dislike a thing, and Allah brings about through it a great deal of good.
4:128 If a woman feareth ill treatment from her husband, or desertion, it is no sin for them twain if they make terms of peace between themselves. Peace is better. But greed hath been made present in the minds (of men). If ye do good and keep from evil, lo! Allah is ever Informed of what ye do.
If a community was to judge under the Quranic laws, then one must also have a justice system that revolves around the Quran.
If the commandment is not to take women which are already married against their will, this would mean that if a women felt she wanted a divorce then she is also eligible to apply for a divorce and the process will proceed given all the other guidance the Quran gives.
This is also not to say that one should not try to resolve small matters but in serious or any situation one feels the need to divorce the Quran seems to give the right to both.
If anyone sees any errors in my understanding please advise
May God reward you all Insha'Allah
Salam