Yes. Keep in mind that currently anti-Western hostility in Iran are a direct result of American imperialism during the Cold War. The Iran nuclear deal framework wouldn't be necessary if the US hadn't tried to prevent democracy in Iran in the 1970s.
This is likely true, however there are a lot of strings if you pull on anything associated with the Cold War. Even without leaning on domino theory and assuming that Iran was better with a democratically elected government, I don't think it's conclusive to say that "If the US hadn't been involved in Iran, the world as a whole would have been a better place." I think Poland, Hungary, and a lot of Eastern Europe are probably happier without the Soviet Union?
As a friend in Jordan said, sometimes democracy isn't the best first step. And I'd argue that both Atatürk and Nasser played pretty close to the line as well.
