A long term plan would be for people to not have them. Since one's money is not going up with the sprogs you are having, perhaps the parents might decide to not have any more? You speak as though them having kids is an act over which they have no control.

Other options: abort or adopt.

Sure, on wealfare alone isn't great. But why not suppliment your job with welfare? What is the state going to do? Put you in jail? Then true you get less liberties, but everything is provided.

To the undesirables you are referring to Idaho giving them small amounts of money does not pay for the drug habit, and ensures that the next generation of kids is like their waster parents.

Pragmatic would be either legalise drugs or free drugs to druggies and if parents are having masses of kids give warnings followed up by forced adoption and sterilisation.

Bribing the bad should be one half of the equation. The other is punishing those that fall further

Break the cycle? Sure. That means that some need to be broken.