And perhaps it wouldn't.
So as well as being fatherless kids on the streets, they'd be fatherless kids on the streets who are even poorer than they are now, with poorer prospects. Fair enough, you're penalising mums who don't think before they get pregnant. You're also penalising their children.
I know it's not so much fun to think about the long-term results when there are knees to be jerked, but what you'd be left with is a swathe of young people beset by a higher level of crime, illiteracy, squalor. So they suffer and we, as the taxpayers who have to sort it out, suffer as well.