I would agree that the Feds need to get out of the Education business. There is no constitutional mandate for the federal government to be involved in education. Same can be said for a number of other federal agencies and deaprtments, IMO.
All government, on EVERY level, needs to get out of education.
Even if government indoctrination camp districts were as small as a suburban subdivision there would still be problems with the voting mob violating freedom of conscience and every provision in the First Amendment.