We have a similar problem in Melbourne - the best shore dives are pier dives, and there's a plethora of fishermen on any given day. What sh!ts me is that they AIM at your SMB or bubbles with a squid jig, because they think you're scaring the fish away. I I ever get hooked by one and I'm flying a flag or SMB, I'm filing assault charges. It is a bit different here, the divers are certainly the minority, and we work around the fishermen. Haven't met a fishermen here yet who didn't give a dirty stare or mouth something at us under their breath while we gear up.
I honestly don't ever recall seeing fishermen at the Breakwater in Monterey, I did around 20 dives there. That's a lot different though - it's a known dive spot, there's stores on the water catering to divers there, and it's a marine sanctuary. Surely the fishermen are the ones who need to work around the divers there.
My wife and I also fish - only ever encountered divers once while fishing from shore, it was no hassle to wait for them to enter and the bubbles move off.