Please tell me how you're going to word your new law and how you're going to enforce it? I agree the government shouldn't pay for artificial conception for someone who can't support the kid (or for anyone else for that matter) but if their insurance covers it how are you going to prevent it from happening? Personally I think Norplant/BTL/some form of provable, demonstrable provable birth control should be mandatory (and I'd help pay for the birth control) for receipt of any ADC/food stamps. That would at least make women perhaps a little more responsible about how many kids they have that they can't afford. Make people more personally responsible for their actions and a lot of moral issues would be solved without having to outlaw them.
Not long ago, doctors could refuse to impregnate single women or lesbians. They were within their legal rights to refuse. Now, with law changes due to "gay rights", they cannot do so. Laws may be different in different states, or it may be a fed thing.
But the point is that such practices have been forced to be permitted due to law which is fuelled by the homosexual rights crowd.