> Public schools and the belief that education is a fundamental human right are inextricably intertwined.

This is not the rational conclusion. It is possible to provide for an education without providing the education.

> Will you subsidize the "private" schools with government money?

No. Funds come from tuition-paying students.

> How are you going to provide education to the poor without public schools? Will the government give the poor money for education?

Perhaps.

> How are you going to provide education to the poor without public schools?

Fund the poor with education credits that can be spent freely on education. The school is reimbursed by the Fed for its education credits.