While I am not a member of the ultra-right, I would classify myself as a moderate conservative, and I do not necessarily agree with the premise of your statement.
In my opinion, conservatives do not generally have a problem with public education. They (and myself can be included in this) have a problem with the bureaucracy and unnecessary waste that goes along with public education.
Again, in my opinion, if it isn't a teacher, principal, or superintendant (or someone else who could be directly involved with the education of the student), why are we paying for it?