Like I said, some people like the spectacle, some people enjoy having a tradition that links them to the past, some people just aren't arsed about politics, some people like that it makes our country a little different and brings in tourism.
You'd be hard-pushed to find a Tory in Scotland, yet I wouldn't say many people hate the monarchy. A lot are indifferent, some support them, some hate them.
Being a monarchist/not bothered isn't a right-wing thing.
I would happily lob their heads off at dawn, but I'm not bothered if others like them.