Yep, the Pahlavis had their "shot", done by Jimmy Carter right in their back.
Iran had only been broken away from the Ottoman Empire about five decades, and had made greater progress toward a modern society than ANY other middle eastern country. My gosh, Motion Performance even had a store in Tehran until 1979, and shipped boatloads of hot rods over there.
Iran (Persia) has never been under the rule of Ottomans
Iran broke away from the Ummayads and set up their own Shia dynasty, then the Mongols set up the Il-khanate, but the Iranians took it back. The Turks never conquered Iran.