If by "the mafia" you mean made members, then yes (although I've read that some families--at least at some point--only required that someone have an Italian father in order to become a made member).
Yes, Vito. I meant made members. And you're right about the associates. Anyone who can swing an axe is eligible
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The half-Italian rule (on the father's side) seems selective, at best. Junior Gotti and Craig DePalma (son of the deceased Gambino skipper Greg DePalma, and comatose after a suicide attempt seven years ago), are both at least part Jewish on their mothers' sides. In short, if your father's a heavyweight mafioso himself, they're more likely to bend the rules for you than if you're just a hustler off the street.
