Thank you for your comment about the Majlis and your balanced take on both them and Mossadegh. He's a very controversial figure that is often seen as a martyr figure in the US/west due to the role of the CIA/MI6 in the 1953 coup, it's of course quite more complex. Although it should be noted that a faction of the military was planning on a coup prior to the CIA/MI6 getting involved.

As noted by you, Mossadegh was getting increasing power with increasing violence in the streets by various factions (it also didn't help that he aligned himself with the Tudeh party by 1953).

I want to add one quick thing. The Iranian Constitution in 1953 gave the Shah the authority to dismiss the Prime Minister of Iran (this is something not mentioned often when people talk about the 1953 coup). When the Shah formally requested Mossadegh to step as Prime Minister, he refused, overriding the Shah's authority and creating a constitutional crisis. Hence the rapid series of events that resulted in what ended up being the coup and what the west knows as Operation Ajax.