The Shah and Mubarak don't fit in your "comparative" history.

Unlike the other 'tyrants" (as opposed to "dictators") displayed in the above photo composition , the alliance and relationship between Imperial Iran and Egypt's Secular Republic with the United States was not based on resolving deeply rooted antagonisms or conflict (since they were never at war with the United States as opposed to their hostility with let's say European Colonial Powers in particular British and French for Egypt during the Suez Canal Crisis, or the Iranian hostility for the British Empire which dates back to their presence already under the Qajar Rule, and enhanced during Iran's invasion by allied forces British and Russian forcing Reza Shah's humiliating abdication and ultimately culminated during the oil crisis during  the "appointed" ( and not "elected") PM Mossadegh term in office which led to his forced dismissal  in a "coup" that wasn't one) :