No, the LA family never controlled all the city because first was ever a small family and dont had men for do this,second Mickey Cohen was a serious rival and the Outfit with Rosselli also had a share of the rackets so the family that was also famous like the Mickey mouse mafia after dragna dead begun to decline.
The Dragna family was serious players tho, much like The Tampa Mob at its time Roselli and other LCN crews who set up house had to respect them. And the mob has proven before that they don't need members to become powerful. I saw a documentary about prison gangs and one of the OG's said ''At the time Jack Dragna controlled most of the drugs in Los Angeles''. They don't need membership to boil over, they just need connections. He probably had connections with someone who made drugs and he distributed them to all the street gangs, hence the street gangs didn't want to fuck with them because he could cut them off. Then other gangs started to make connections with the Cartels and so on, and the mafia started to decline. I don't think it's so unlikely and Roselli was more like Bugsy than he was a Spilotro. He mostly focused on Union racketeering and Hollywood, just like he mostly focused on the Casinos when he was in vegas, and Roselli was more of a supporter and associate of Dragna, he worked with him as a close friend, altohugh he represented Chicago.
