They have every right to hate the US.

This video is a basic overview of U.S. imperialism toward Iran that
began at the behest of the British Government and big oil interests
including British Petroleum also recently known as BP.

The
United States' own CIA led it's first coup to overthrow a foreign leader
against Mohammad Mosaddegh in 1953, The U.S. has suffered "Blowback:
ever since, all the while the supposed leaders in Washington continue to
demonize Iran's leaders on flimsy grounds as more pretense to continued
Middle East war and occupation by the U.S.