And usually those that take the classes would have done fine anyway since they are engaged in parenting. I am critical of a governmental breeding licence, even if it is just for additional monetary support. Difficult to quantify anything that reflects successful parenting and the bureaucracy would probably be counter productive. Stressed parents are often bad parents, you don't want to make it worse with audits.

Also, as someone not from the US who heard unsubstantiated rumors about parents getting in trouble with law enforcement for leaving their kids alone for 5 minutes, I doubt this could in any way be sensibly handled. Similar problem exist in other countries too of course.

Best make room in school for some basic education, as there isn't any in most countries.