I see a lot of claims to the effect of 'but who will look out for the child if no one man is forced to pay child support?'
An easy and ethical answer is that IF the society wants to allow incapable mothers to carry to term and retain custody, then the society as a whole is responsible for footing that bill. Every child, regardless of whether the father is known, or unknown, whether the MOTHER is known or unknown, deserves to be taken care of. That isn't strictly the responsibility of the parents. That's for the good of all of is, and so all of us are responsible to chip in to that outcome.
So I support a strong stipend for all children, irrespective of parental situation. I support professional daycare services for every child, and want them to be easily accessible to everyone and paid for by the government. This is one of the reasons I pay taxes! I want to see my government pass laws mandating PTO for parents regardless of gender.
The idea that people should have to suffer and be poor for having kids is foolishness. I've already stated how women should not have to suffer to have kids or to not have kids, that the deciding factor should be what risks the mother wishes to take. That neither men nor women have an inherent right to have a child, and that there should be no expectation that a person be 'punished' with being a parent, man or woman. The fact that nature makes it worse for women doesn't justify depriving men.