There has always been something on the constitutional side of the British monarchy that our American friends miss. Perhaps it is due to different perspectives - the British royal family is just a curious foreign tourist attraction to them, but it hss (at least nominally) a degree of national foundations significance to us in the countries where her mother's portraits still appears on our coins and government buildings, the police and many other government services still have insignias with symbols representing her, and each time an oath is still sworn in her name.
Very true. In the Commonwealth, the greatest support for the Monarchy comes from Conservatives. However, I do think that Charles is right to want to diminish the connection between church and state, which he would embody if he were to become King -- and therefore also the Supreme Governor of the Church of England. Americans were right to sever those links.