From my understanding your retelling of history is a minority view. For instance, it is in conflict with Wikipedia.
It’s commonly accepted that Mossadegh was thrown out by a coup and that Khomenei seized power through a revolution.
The point GP made was that Mossadegh was not democratically elected. There hadn't been representative democratic support for Mossadegh. Mossadegh was installed by the Shah and Majles, stopped an election that wasn't going his way, and then tried to dissolve parliament to concentrate power with himself.
"Iranian people voted in their beloved leader, who was then toppled by the mastermind West" is a cartoonish level of geopolitical understanding by those who have read the first couple paragraphs of wikipedia
"it is in conflict with wikipedia" is a wild thing to read.
There has been a release of archived official US diplomatic communications a few years ago that paint a rather mixed picture where the embassy was convinced the uprising had failed and the next days there were surprising marches in support of the shah that succeeded in the end.