It's because half of the Republicans don't want democracy anymore. Democracy means that the other side might have power if the right's views aren't popular enough. That's unacceptable to Republicans. They want a system where they are always in charge and nothing so minor as "our policies are highly unpopular" can stop them. They want a dictatorship with them in charge.
At best, maybe they're willing to have a "democracy" where you have the choice of which Republican you want leading you. (It would sort of be as if the Republican primaries were really determining who would be President - not who would be the Republicans' candidate for President.)