Hi Ken,
I had to make a few assumptions based on what you gave for information:
1996 Dodge Ram 1500 Reg. cab - 5.9L Magnum V8 (Gas)
Transmission (Modern A727 Torqueflite) is either the A518 (46RH is a renamed A518. A727 with overdrive and hydraulic control) or the A618 (47RE is a renamed second generation A618. A heavy duty A727 with overdrive and electrical control.) The A518/46RH-RE were used for more heavy duty applications found behind the 5.2 L and 5.9 L V8 engines. The 47RH was used in 1994 and 1995 model years, while the 47RE was used from 1996 through 2002.
Since you have a 2WD with the stock Chrysler 9.25 with 3.55 gear ratio it is most likely fitted with a limited slip differential in the rear. This truck should be equiped with a DANA 44 open rear differential.
Rather than converting the rear diff to a posi-trac you could use a POWERTRAX No-Slip Traction System. JEGS carries one and this is the link http://www.jegs.com/p/Powertrax/Powertrax-No-Slip-Traction-Systems/744476/10002/-1

You would need to check the codes on the rear end to make sure which axle/differential you have before getting one, but the No-Slip POWERMAX doesn't have the same ratcheting noise problem that most rear lockouts experience.
