Parents SHOULD be responsible for their kids.
If the father doesn't work, perhaps he can stay home and take care of the kids while the mother works.
Our state only takes on collecting child support for (non-welfare) children when the non-custodial parent is at least a month behind already on court ordered payments. I (and other middle income working parents I know) appreciate the state collecting it. If it wasn't for that, who knows when these exes would pay up? (It would get expensive to keep dragging him/her in to court.)