Should i trade in my old xbox 360 and games i don't want anymore to get a ps2?

ok,so i really want to get another ps2 because i miss having one and i kinda wish i never got rid of it.i was thinking about trading in my old xbox 360 along with the sims 2 castaway for the psp,x-men 3 for the xbox 360,assassin's creed for the xbox 360, and csi:deadly intent for the xbx 360 so i could put it towards getting a ps2.im not ever gonna play those games again or use my old xbox since i currently have the new one.so does anyone think it's a good idea that i trade in those games along with my old xbox 360 to get a ps2?and how much would i get for doing that?