Maybe depends on how hard or easy it is to improve the schools, on how much influence the parents can have? In Finland, apparently it was doable, but that's, in a way, a very different place than here.
No, I'm proposing the opposite: that states try to act more like Norway/Finland by themselves, instead of hoping the federal government will do so (which isn't going to happen).
And yes, schools are funded by local taxes, but it doesn't have to be that way: if states really wanted to, they could take that power away from municipalities. The constitution gives the states broad powers to run themselves as they like.