hi i have a b16 sleeved to 84mm for a turbo setup and i bought the LS S80 HYDRO TRANNY. i also bought the type r differential without the ring gear. i wnat to know if i buy the type r 4.7 final drive which includes: ring gear, coutershaft, needle bearing, first gear(but don't kbow if use since its short), and distance collar. will this go into my ls tranny. please let me know and if would be a good setup. thanks