i'm pretty sure dom is still using zildjians.
apparently he has stopped using iron cobra's. i think most people think its a DW pedal. not too sure though as i don't really read or post in this thread much either.
can't help you with the snare as i havent' seen this video for map of the problematique?? though i know that he has several snares that he uses for recording; starclassic snares, ludwig black beauty, and DW snare