I would tend to agree, except when they take your money to fund it. Then it becomes a right or give the money back.
So we should all have the right to drive an aircraft carrier; fly a B1; pull donuts with an Abrahms tank? Seems as if the Big-L Libertarian position would suit that scenario. We fund lots of things in the society we choose to live in that convey no right to anything, but are necessary for the well-ordered functioning of that society.
I do agree that the Feds have no right, power, or privilege granted that enables them to mandate anything concerning the local schools, including dissemination of federal tax monies to enforce their unconstitutional mandates. Correcting that usurpation would go a long way to putting the public schools back in the mostly capable hands of the local parents and the States.