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Yes, the whole point of the revolution was to remove the U.S.-appointed monarch and reverse the pro-Western trend he had started. And then Iraq invaded Iran because it was afraid the revolution would spread.
Just one year after the revolution, Jimmy Carter proclaimed that the Persian Gulf was the U.S.'s personal playground, and no one (else) was allowed to mess with it. Bush I and Bush II acted accordingly. Even the continued goodwill toward Saudi Arabia is a cause of worry for Iran, as they're sectarian rivals. And then there's Israel, which is viewed as a representative of U.S. interests against Muslim populations.
The Second Iraq war was started on the pretext that Iraq already had WMDs. For Iran, having them isn't going to stop a U.S. invasion.
That the revolution was to remove the American influence seems to me much weaker, and thus easier to prove, than the claim that it was directly related to 1953.