The use of the word “overly” shifts the tone of this claim ever-so-slightly to that of an opinion. Opinions cannot be truly falsified because of their subjective nature. However, if the word is taken out, it is easier to find more concrete data to analyze and fact check.
In terms of custody battles, which is the primary issue that divorced men are often speaking out against, it appears that there is not legal conditioning for unfair rulings — as ADAM (American Divorce Association for Men) states, “There are certainly laws that protect both men and women, and laws that are intended to be gender neutral. However, […] laws certainly tend to favor the person that has custody if there’s an issue or dispute involving children, the law favors the parent with whom the child resides full-time. That person is going to be able to get child support from the other parent and it gives them the advantage all the way around, they have custody, the other person has parenting time. Quite often women have custody…” (ADAM)
This is confirmed by Ashburn Psychiatry, which states that in the US, mothers win custody battles much more frequently (exact numbers cannot be gathered, as 98% of cases are settled outside of court). (Ashburn)
The reason for this is due, in part, to the belief that women are better parents overall, and the primary caregiving role should fall to whomever’s presence would benefit the child best. Of course, this is not the case in many instances, and non-female parents can be just as beneficial to children. (Weaver, Bennet, & Bland)