You don't understand the status of the monarchy in Britain or the political situation there. The monarchy is barely tolerated even by the conservative politicians, and is only grudgingly accepted as an aesthetic symbol. If you want to see what happens when a figure within the establishment tries to oppose it, you can take a look at the case of Enoch Powell - he was very popular, had political connections, and the people were with him, but he was nevertheless completely isolated by his own party and failed to accomplish anything.