What do you think of the idea that some of the problems that MRAs try to tackle coincide with the goals of feminists?

For example, the fact that women get most custodies of children. Isn't that because judges and juries seem to think that women are better parents because they are women and men can't raise kids? Isn't that prejudice something that feminism tries to solve? A similar argument can be applied to longer prison sentences for men for violent crimes and longer sentences for women when they commit crimes against children.

As a feminist, I wanted to know your take on this.