Going after the NEA would be a great start.
Do away with the Department of Education. Return all education monies to the states. Let each local community run their schools.
Set up a plan where-by local schools would hire in a private administrative team to run the school. Let them do the hiring and firing, with the stipulation that tenure not be incorporated into the plan. Teachers would be placed on the payroll only after they signed a no-cause termination agreement.
Teachers would be non-union. If they did unionize, the local town could simply cancel the contract with the private school administration.
When a new administration entity came along, there would be no teachers hired from the former staff.
I know this is a tough love approach, but the gravy train was bound to end sometime. End it today!