Never said that, as you know. However, the "sources" you quote don't even try to hide their bias. One must try, as ever, to weigh the likelihoods in the various reports
What are you saying? That the democratically elected Head of State was deposed in democratic elections? If so I must have missed that part. Were there no armed forces on the streets of Kiev?
Never said that either. But it would appear that a democratically acceptable political process - the demonstrations - were handled undemocratically by the President - the shootings - who then fled in the face of the reaction. The position of the armed forces changed over the course of events.
The President fled Kiev in fear for his life, his car was shot at on the way to the airport - that sounds like an armed coup to me.
There is a difference between an "armed coup" and people using guns. For me, an "armed coup" implies rather more than someone shooting at the President as he fled to the airport. And, of course, you have subtly changed your wording from "military coup" in your previous post. Big difference there.
Are armed neo-nazis perfectly legitimate people to be doing business with? That appears to be the US Govt's position.
If they are the ones who hold the power, then yes you have to do business with them. Otherwise there would really have been no dealings with Russia itself for quite some time.

But the aim surely is to restore Ukraine fully to its place as a stable independent state, and you have to deal with someone. And your "armed neo-nazis" are only part of those holding power currently.