>Prime Minister of the UK is appointed by democratically elected MPs That's not quite correct; the PM is appointed by the Queen. In the event of a revolt by t

>Prime Minister of the UK is appointed by democratically elected MPs That's not quite correct; the PM is appointed by the Queen. In the event of a revolt by the parliamentary party of government against their leader, then the party gets to appoint a new leader, who then becomes PM. But that choice is reserved to the MPs of the majority party - hardly democratic. But in the general case, there's a General Election, and the leader of the winning party becomes PM.