Thats not an answer, its a run around. Why does Iran hate us?
And why do we, support Israel. Its not because theyre the only democracy in the area. Its because "The Bible tells us so."
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IIRC, Iran hates us because we supported the Shah and trained Savak... which was one of the most ruthless secret police organizations in the world at the time.
And when the Shah fled (with the treasury), we ultimately gave him asylum (to get medical care for his terminal cancer) and would not return him to Iran for execution.
Not to mention deposing Mosaddegh in 1953 under Eisenhower, because he was a socialist bent on putting Iran into the Soviet sphere (they share a border)... and putting western Oil at risk. So Mosaddegh, who was elected and very popular with the Iranian people... had to go. The US orchestrated the coup with the UK and put Shah Reza Pahlavi in power. The Shah was America's 'policeman' in the area and we loaded the country with weapons and assistance so he could be the 'big dog' in the neighborhood as an American supplicant. The Iranians never forgot that.
The Shah also Westernized the country, which really pissed off the Mullah class. Among them was Khomeni who was persecuted, jailed and ultimately banished to France where he continued to resist the Shah. Who used 'new media' in the form of cassette tapes to send sermons and pretty inflammatory material into Iran. The reaction by the Shah was continued repression of any resistance through his SAVAK. To the point that it was a police state that was heavily supported by the Nixon Admin and Kissinger (who had their hands full with Vietnam). But everyone knew that the US was supporting him and SAVAK.
Carter's arrival and his human rights agenda cut off a lot of support for the Shah and SAVAK. And when the Shah was beginning to die of cancer, the mullah's sensed their chance. The Shah was not able to maintain power... And went, IIRC, to Mexico to get cancer treatment. But Carter let him into the US after the revolution.
We also froze their funds, embargo'd them and made them enemy number one. While they made us the Great Satan... not over Israel (that came later). But over our providing support for a repressive regime and toppling their democratically-elected socialist Prime Minister... replacing him with a King who repressed their religion (and spent lavishly on himself while poverty reigned in the streets.)
So our support for Israel is, historically, not at the root of Iran's hatred for us. But its become a reason.
I can provide a bibliography if you like! The one I'd suggest starting with is Daniel Yergin's "The Prize" because it was all about oil... and that's what The Prize was all about! Great book... reads like a thriller! It's all real!
Cheers,
Sirhr
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And I flame anneal! 
