Did you read the books? The limitations of Dumbledore’s political (in the general sense) power, in and out of Hogwarts, is a recurring theme. He regularly tries to influence things, but encounters pushback from other politically powerful people. His methodical attempts to incept progress in a stubborn and prejudiced society steeped in traditionalism are a constant backdrop to thee books. His inability to just do whatever he wanted at Hogwarts and the limits of his societal influence are basically the whole plot of the 5th book.