What if the Shah was never deposed in favour of a regressive Theocratic state?
I don't think that Iran would be more stable under Mohammad Reza Pahlavi, considering that under him it was a police state afflicted by economic disparities (and no i am not defending the Islamic Republic but just pointing out the situation of Iran at the time)
Best case scenario Reza either dies or retires earlier and a new democratic government takes his place
This means no Hostage Crisis and the relationship between Iran America and Israel is left untouched
This has repercussions on american politics, in particulat the elections of 1980: if the Shah remains in power Carter has some chances to beat Reagan and be reelected
With Carter in the oval office, the american strategy towards the soviet invasion of Afghanistan could be extremly different from OTL or at least the mujadeen would get less help than OTL
Of course even in the most optimistic outcome, radical islam remains a problem( the islamic brotherhood still exists and Muhammad Zia-ul-Haq is still in charge of Pakistan) , but i also believe that it would be less widespread than OTL