The dispute between the U.S. and Iran dates way back to 1953, when the Eisenhower administration supported a British effort to topple the duly-elected government of Mohammed Mossadegh and install the Shah as the head of state.
Nice left wing analysis on your part.
The Shah was already head of state. Mossadegh, until losing out in the competitive coup business, was head of government.
The 1953 events are much more complicated than just the evil Americans removing a democratic leader. There was plenty of indigenous opposition to the guy.