The problem is they can't invade your government, which is an idea, they can only invade your neighborhood, a place. Look what is happening to Ukraine or what happened in Iraq, that is what war is like there's nothing democratic about it.
Well, Ukrainians actually fight for their democracy, and are pretty strong on that, ready to die for it.
There's a big difference between democracy and political chaos. I went through all 90s in Russia - believe me, there were so many freedom and democracy around, that no one in modern America could ever imagine :) Despite all of that, all things around were so bad, that people turned to Putin's stability with great relief.