They wanted us involved in their coup?
What role did they think NATO or the EU or the US should have played in their coup? If there was a coup in France, for instance, is there anything in NATO treaties or EU laws that say the UK or Germany should get involved to try to prop up the French government against whoever was trying to overthrow them?
As for Russia getting their hands on a F35, the more the US tries to push NATO into former Soviet bloc countries, the easier that will be for them. Surely those countries have some Russian sympathizers or deep cover agents that could be in a position to gain access to the F35s. I imagine the US or its allies do the same to get access to Soviet and Chinese fighters.
Anyway, we didn't built the F35 to be superior, that's what the F22 was for. We built it to line the pockets of defense contractors, and sell planes that we knew we could shoot down with little effort should they someday be turned against us (i.e. because of a coup in a former ally)