I am on a phone at present and thus cannot fully address the depth of your ignorance on the economics of what you proposed.
So check back in a couple hours.
Now then Dreamy. Yes, the same monies would be collected on property taxes, unless increased, even for folks like myself whose kids are grown and no longer in school. But an educated workforce benefits me, so no problemo, for me.
However, if lobbying by private education interests is successful and they bleed government money by selling enough retards on the foolishness that your child costs X and that should be your choice as where to spend it, things get fucked up. Here's why.
Your child's cost is merely an average. We'd still have schools, teachers and admin at the exact same level with or without your kid. But with your kid, the average cost goes down, albeit a fraction of a penny, state-wide. So no biggy, with or without. In fact, adding classrooms comes when student levels reach a point requiring it. Conversely, reduding classrooms and teachers for each grade level, and school, requires student totals to fall below a certain mark. So not all schools would lower cost, but would see diminished money coming in. And private concerns get all kinds of new govmint buckos, in case you're wondering why they spend on lobbying (a big ******* payday, hopefully, for them ... but not us ... since UP goes the cost of education, and soon after your and my property taxes, sales taxes, etc.)
Plus if private education was such a godsend, why are we in such a clusterfuck now with higher / trade school private "educators," suckling the student loan teet, and handing out "degrees" that are bullshit and worthless to potential employers? (answer: change in banko laws, thanks to GWB. Now poor folks can be hoodwinked into huge student loans for "educations" that ain't worth shit, and the poor schmucks are stuck with the debt and payments, without bankos as a way out.) All thanks to good old private "colleges."