Okay, interesting turn of events again.. Blake and Hedger openly admitting the names of the mafia is not funny. It's definitely a strategic move. The common name they've taken so far is Hmarka.
What I Feel, Hmarka is not mafia. He is most probably Cult. The mafia know, without getting the cult out of the way, they have no chance of winning, and they want the town to lynch him first, because, that gives them that extra night to make another kill.
I think they are conveniently hiding the Godfather from us.