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In researching my book on Harry Reid I came across possible long chain leads to the California mob. But it fits your thesis, they were known as the Mickey Mouse Mafia. Jimmy the Weasle Fratiano and Bompensiero are two key people, there are a couple others.
http://www.futurnamics.com/reid.php

Below is a link to an interesting article on Chief Parker . I've included an excerpt about how the LAPD dealt with mobsters who tried to come into LA:

LAPD's Intelligence Squad tracked Mafia movements on a national level, and regularly met incoming mobsters, or their goons, at the airport, where they would savagely beat them, then place them on the next flight out. Parker was adamant that the Mafia would not gain a foothold in LA, and he succeeded in his efforts. In 1965, it was estimated that there were only 30 Mafiosa in the city, and most of those were retired.

Here is another interesting section about the Bloody Christmas scandal:

In 1951, on Christmas Eve, Parker faced his first major challenge. Seven Mexican American were severely beaten at Central Station in Lincoln Heights by dozens of officers. When the story broke, known as Bloody Christmas, a grand jury investigation was called, and Parker took charge of the investigation. Over 450 cops were interviewed, and ultimately, four went to jail, two were fired and thirty six had official reprimands placed in their files. Parker confirmed what the rank and file, as well as the upper echelons, already knew: he wasn't running a popularity contest.