100% they should leave the get out of any law issues. It should be given regardless of any court/law/monetary fights. As for your question can you rephrase it because I don't think I fully understand your question.
These are halachik issues, what the
law judge says has no bearing on halacha.
In a situation where the woman is subjecting the man to severe torture by taking his children and not allowing him to keep enough money to live (while she lives the high life off his hard work), why should he give up the only power he has to stop her abuse?