It's not horribly unusual for a system that can be called democratic with every right to exclude those that have repeatedly stated, and shown in action, that they would not actually abide by any result that goes against them. It's the paradox of intolerance right there -- it's not those defending the rules of democracy that are damaging it.

A democracy has to protect itself from coup attempts

You think of elections as coups? Fair, but those peaceful coups are the essence of democracy.