I agree with your point. Vouchers would have the private schools catering to the money source.
Then would you support tax breaks for home-schooling parents?
Ever read Lincoln Steffen's book Moses in Red? Moses got the revolutionary process rolling by making a SMALL request of Pharoah, something so completely reasonable that the refusal thereof made plain the real issues at stake. I'm thinking that, if we began making such a reasonable and logical request, the facts of the matter would soon become plain. Government schools are not about educating children, but rather about controlling children. Government schools serve the State, and ensure a generous stream of docile factory hands and cannon fodder.