I think you've got this a bit backward Trog. Maybe our tax dollars should stop supporting them.
My Irish Italian husband is one of 9 children and was supported by his parents, and later himself (started cutting lawns around age 12 and hasn't been without a job since). He grew up in a neighborhood full of similar families. He and all of his siblings are tax-paying working members of society.
Maybe it's when we started paying people to have babies and paying people not to work that they stopped worrying about having babies they couldn't support? We have millions of abortions every year yet we still have plenty of people having babies they can't support. Think it's due to lack of access to abortion? No, it's because we're picking up the tab for it. Stop subsidizing it and watch the numbers plummet.
Somehow decades ago, despite a lack of access to birth control and despite this biological need for sex that we are supposedly incapable of controlling, most people did not have babies until they were in a stable relationship and could afford to care for them. Magically now people are incapable of that same restraint. Why? Is it because we removed all necessity for restraint perhaps?
Nah, that couldn't be it.