In this week of the May 27th issue of National Enquirer is a full page article on page 18 about Bates and Anthony's family ties to the mafia. Go check it out.
People here in Chicago, their hometown, know this. Their grandfather, Sam, was a high ranking member of the Chicago Outfit who passed away in 1973. His family does not appear to have followed in his "career" path.
As a side note, the brothers own a bar in, I believe, South Carolina with someone by the last name of Lombardo. Chances are this person is related to Joey "The Clown" Lombardo, a high ranking Outfit member who is currently in prison due to the Family Secrets trial.