Lior: The OP is discussing propriety. Good behavior. Rightness. Gan eden. The question is based on the viewpoint of the husband. Not beis din. Not the wife.
A husband whose wife wakes up one morning and firmly and permanently decides she wants a divorce, based on the way her dog sneezed that morning, is in a sad situation. He may have rights. He may have been wronged. BUT HE SHOULD STILL GIVE THE GET. Anything else is AT BEST revenge.
Every one of your arguments citing her responsibilities, how wronged he was, or bes din’s halachic perspective in dealing with evil/irrational people is missing the point.
The only moral argument you made that might make theoretical sense is regarding best interests of the children. What you aren’t addressing is that studies show that children do better through amicable divorces than they do through hostile marriages.