I have my own plan for welfare, especially when it comes to child support. Single parent with one child gets $X per month. That support goes down with each additional child until you reach a point where you get zero support. And it should reach zero quite rapidly. And absolutely no financial support for abortions. All the free prophylactics you want though. And I'd be okay with funding voluntary sterilization for both males and females. Please note that I make no distinction with regard to race.
I'm not fond of a welfare state. We live (still) in a mostly merit based society. But there are some folks at the bottom who through no fault of their own, do not possess the faculties to be successful on their own, or have been dealt some particularly harsh realities, through no fault of their own. I do think there should be a safety net to help those people survive. I'm not sure what the answer is for that. I'd rather have our systems encourage self reliance to the extent possible, while also helping people who can't be self reliant stay out of poverty. It's not completely out of compassion that I say this. It's that poverty creates societal problems of its own, and we're a better society if we take care of those who can't take care of themselves.
But for sure, whatever system we have should not encourage a cycle of dependency on government. It should not encourage behaviors that tear down the individual attributes which tend to make success more likely than failure. Like tearing apart the nuclear family, for example.