It's more or less true that democratic societies tend to have developed in a direction we'd consider 'right', and I'd even agree that this direction is "right" in a sort of universal sense. But it's not actually the majority opinion that makes it "right".

In fact, the most impressive advancements have been in protecting people from the "tyranny of the majority". Things like due process even for terrorists, or presidents, or pedophiles would probably not get a majority.

Think about it: the system based on majority-rule happens to be the best if you're generally hated by everyone. If people like you, Russia doesn't actually feel that different :)