Person A: The Department of Education was a bad idea. They should defund it.
Person B: You want to shut down all the schools??? You don't think kids should learn to read and write and do arithmetic??? Are you insane????
Because (you know) everything falls apart unless a government bureaucracy is on the scene making sure everything runs smoothly!
No, because most of the Department of Education budget is distributed to the states to fund education. Zero out the budget and you eliminate funding. Eliminate the department and keep the part sent to the states and you really aren't saving much.