That seems a little insane. How about a "we stop subsidizing breeders" policy? The rest of society no longer subsidizes and cares for your mistakes and desperate need to hump without a rubber and if you want to have a kid (just like if you want to own a car or a boat or a home or a pool table), you have to be able to afford it.

I'm not for government involvement in things, so I'm hesitant to suggest they be taxed additionally for having children, but it's certainly reasonable to stop encouraging them to breed when they can't even afford rent as it is.