We were thinking of some games they use: how about Operation, Call it Indoctrination.
Pictionary could be Witnessary.
Back Gammon could be Back stabbing.
Connect four could be Connect the Doors
Snakes & Ladders need I say more.
Trival Pursuit could be Trival Excuse
Guess Who could be Guess the false prophet
Mouse Trap could be Cult Trap
Cant think of anymore at the mo, any ideas?