Your personal taxes wouldn't go far.depends on how its done. lets say me, a tax paying american, wants to send my kid to a private religious school then i should be able to use the tax money that is stolen from me to go to the public schools, of which my kids do not attend.
In TN we don't have a state income tax and the school budget comes from property tax and the government pays "X" amount per child. If 50% of the county budget is for the schools you would only get 50% of your property taxes to pay for private schooling. Property taxes in a majority of the state are fairly low.
They tried to pass the school voucher system here this past year. The wailing of how it would damage the public school system was incredible. It didn't pass.
Schools have a strangle hold on govt