> It requires you to buy into the idea that these regular people are somehow more worthy than anybody else.

Not necessarily. I'm fairly neutral on the (UK) monarchy: I don't particularly like the idea, but some people do and it doesn't negatively impact me at all.

I can see some (small) value in keeping a historical anachronism around, for the sake of culture and tourism. That view doesn't require any belief that a certain family is ordained by God or more worthy than anyone else.

If they had any actual political power I would feel very differently.