You would have to find a donor truck and grab the entire driveline. The Viper engine came with it's own automatic (48RE, a modified DIESEL trans to handle the power) and the Dana 60 in the back. SRT QC's use a 2 piece driveshaft, you either have to fab something for the carrier bearing or get a custom 1 piece. SRT QC suspensions are no different than regular 1500 suspensions except for the front coil springs. If you put the Dana 60 out back, your rear brakes will be bigger than your stock front ones. Stock SRT brakes in 04 were really big 2 piston sliders; 05-06 they were even bigger 4 piston fixed on 15" rotors. It goes without saying you will need the ENTIRE harness.
This swap has been performed on a 2002 QC 1500. He got everything to work, but it isn't easy and SRT parts aren't cheap. In the long run it would be better for you to find a reg cab SRT-10, insure it as a collector vehicle, then blow his doors off. Downside is, collector insurance limits your mileage drastically. Upside is it's usually cheaper than normal insurance. Good luck.
2003 Ram 1500 QC Hemi Lonestar "Big Red" (Mods list in profile)
2006 Charger R/T "Little Red"
Sarcasm - it beats killing people