You're right, and they have had the majority of the power for a long time. There is some good news for the future. I have heard that courts are beginning to consider the woman's income as well when they calculate how much the man has to pay in child support.
So as a white man I could have the pleasure of being seen in public with a "family" where clearly none of the children are mine? Just what I've been looking for.
It's all the more reason not to marry someone who has kids from previous. And it sucks to give those kids so much time, energy, and resources and then boom, you're out of their life. Sucks for you and them.