Really, that's not even the political debate. The question is, should they get a piece of the government theft that is taxation, like the public schools.
To that, even, I say, yes. Parents should be the customer of the education service that our society says the government must provide their children. It should be their market choices that are empowered by that theft. If we have to have that theft for this purpose at least allow parents the power to direct those funds to any school operator they like.