I think abortion is semi-relevant to the discussion because some people seem to think if a woman does not have an abortion she should be willing to raise the child without support from the father.
This overlooks the fact that child support is a child rights issue that doesn't exist until the child is born and shouldn't be influenced by the woman's rights over her own body that exists before birth (generally in most cases those woman's rights issues are resolved several months before the birth of a child) .
The reasoning (which makes sense from an equal rights perspective though I disagree with it) is that if a man has no input whatsoever into whether a woman has an abortion or not, then he should have no legal obligation to help care for a child that he might not want.
In short, by making a "woman's right to choose" the absolute, overriding "right" in this argument and following that right with one to force the father to support his child, then you are making the "womans right to choose" completely override EVERY right a man has.