+100 with you on that foreign countries should not intervene.
However, a few caveats:
1) Let's not repeat like a mantra "democratically elected president". So is Putin. So is Lucashenko. There is not much one can do if the whole political structure is built in a way such that it's impossible for someone outside of "the circle" to run for a presidentship.
2) There are many different things we are arguing about at the same time. Which specific one do you disagree about?
a) Whether there are riots in Kiev. In my opinion "riots" is what the mob did in London. In Ukraine there is highly civilized protest by the public (e.g. all the expensive shops inside the Maidan stay intact. None of the glass is broken. Can you imagine that in London or Paris during the riots?? There is not a single report of a civilian injured by "rioters") , which only responds with violence to a very specific group of people (namely, Berkut)
b) Whether the situation is organized by the West. I personally believe the will of Ukrainian people to be free is sincere. They've tested the freedom during the orange revolution and they want it again.
c) What people are protesting about. Once again, as far as I can tell, people are protesting not "for" the Europe integration, but against a group of criminals who have captured the power.