They were referred to by different names, "The Company" being one of them outside of "The Family", "The Hawaiian Syndicate",... Yeah like you said, probably they were just the Hawaiian version of the Dixie Mafia.

Biker gangs don't seem to make much noise on the island. There appears to be a lot of illegal gambling over there though, mostly ran by Triads, Yakuza, Koreans, Samoans, some Natives,...