Dj hero and Guitar hero Controllers

I have a ps2 and the dj hero turntable for ps2/ps3 but i can't play the dj hero 2 in ps2, i saw in the playable list that dj hero 2 is there but, i can play with a dualshock? i really don't know, and the dj hero controller and guitar hero controller is compatible? if not what do you think of implementing compatibility