No.
My interest in educating my kids and choosing how does NOT necessarily coincide with politicians’ interests in educating kids in general and choosing how. The latter need a “lowest common denominator” standard geared toward compliant graduates sharing political persuasions, while the former needs the very best individually-tailored out-of-the-box independence & leadership training my money can buy.
"Do we really think that a government-dominated education is going to produce citizens capable of dominating their government, as the education of a truly vigilant self-governing people requires?" [Alan Keyes]