I think she's supporting her right to homeschool, which is a valid alternative in my book.
In my quick and easy solution parents could use their vouchers/education credits for a public school, to subsidize enrollment in a private school, or to buy materials to homeschool.
Although this system would mean even more paperwork and room for meddling by government, state and fed., so I don't really know. But I do know something needs to be done...
if only we had a system where we could elect people to represent us in some sort of organization, we could call it a congress, and these representatives would listen to us and ...ah, heck, that'll never happen.
Vouchers does not threaten her position.