If the Genovese family hasn't been struck majorly since the chin I dont they will anytime soon. The Feds at this point are playing small ball in trying to check their power with periodic indictments like cases against Joe LaScala or Romanello. But theres been no clear indication that anything big is happening against them that's coming in the future.
I can see it with the gambinos, with the stefanelli tapes, we could see some major hits there. But not with the west side.