The reason for forming a criminal organization today is to pursue rackets that, presumably, other criminal organizations aren't exploiting or don't seem to care about. That's how the Irish, Russian, Jamaican, Albanian, Latino, etc., gangs got started--some of them when the Mafia was stronger than it is now. As long as the organization isn't stepping on a Mafia family's toes, or has made some accommodation with them (as did the Westies), why would the Mafia care about them? And, for that matter, why would the new organization want to go through all the ritual BS the Mafia supposedly imposes, when the purpose is to get rich quick? And, if it were a new Italian gang, why would they complicate their lives by claiming to be Mafia, when their goal would be to avoid crossing the existing Mafia family's path?