It is nothing of the sort. The public elects their representative (who, generally speaking, doesn't bother finding out what their constituents' overall view on any subject is so can't know how they should be representing them). Those elected who are in parties are entitled to choose who leads their party. The general public can't sensibly have a say in that. And because we've failed to move on from a monarchy, the king/queen chooses which individual to ask to form a government. Aside from the UK not moving with the times and still having royalty, it's all above board and unashamed. It is unfortunate to have so many inadequates chosen for 'first among equals' in such a short time though. But that's because there are few worthy of the post that are in a position to go for it, or who want it. Until we get another candidate prepared to do what the public's decisions demand, we're stuck with just the facade of democracy.