The West Coast Faction was pretty powerful, but not as powerful as the other side of the family that was backed up by the Commission. However, in the West Coast they were pretty strong. Bill Bonanno also mentioned in his book Bound By Honor that he had a lot of soldiers on the West Coast that were ready, just in case one of the California mafia families tried to mess with them. JB was involved in organized crime with members listed above until the late 80's. There was even a murder in Arizona in the 1970s, one by a Boyles that people suspect Bonanno ordered, and another murder that Bonanno was suspected of ordering. Bill was involved in all kinds of scams, while he was living out West. Same with his brother.
Some evidence show that Joe Bonanno and his son Bill retired from Cosa Nostra after the Bananas War ended in 1968. They were pushed out basically. But there's also evidence that shows they ran a Mob Family (just not LCN anymore) on the west coast in the 1970s or way into the 1980s as my chart suggests. Bonanno's book came out in 1983 I know. But if you notice in his book, he never said he did anything wrong. He said he was just a nice old Sicilian man of honor.
I would simply take exception with the term, "the other side of the family." That makes it seem Bonanno's west coast crew was almost equal in size and strength. There was only one family and it remained in NY. What you had out west was a shelved boss in Bonanno, his son, and some of their followers.