There was an interesting article this week in the New York Times about the emergence of historians studying the British Royal Family. The article stated that the BRF hasn't been extensively studied in part because historians on the political right view the monarchy as something that should of course exist (so why debate it?), while those on the left view having a monarchy as absurd (and so why debate or study it?).
If it's true that republicanism (small R, meaning anti-monarchy movements) is supported largely on the political left, to the extent that we know European monarchs' political views, do they generally favor the political right?
With Prince Charles refusing to invite a few Labour leaders to the recent royal wedding, I'd say he's perhaps a Tory, but do we know?