States can impose whatever is allowed by its constitution as long it doesn’t involve a right resevered by the US Constitution to the federal govt.
Hmmmm...I'm not so sure about that.
In the case of something like education I would agree with you. There is absolutely no enumerated power that legitimately allows the national government to have anything to do with it. But many, if not most, of the state constitutions do grant power to the state governments to govern in this area.
But the imposition of flat-out socialism? That's highly debatable, since the U.S. Constitution requires that each state be guaranteed a republican form of government. Is that possible under socialism?
I guess it comes down to how you define republican governance, in the American sense of the words.