It's called the "Dodge Lean".

Unfortunately, diesel, V10, V8 or slant six, they do it. More common in 2wd's. Surprisingly, My 4wd with the stiffer Off-Road springs did it. The '01 4wd beater I picked up 2 years ago is now doing it, my Parents' new '90 2wd Diesel did it, and my '90 2wd gas was just starting to do it when I sold it. Seems to always be the driver side.

It doesn't take much, a quarter inch on one side is noticeable a mile away. I put diesel springs in my Off-Road and that fixed it, otherwise I know of no other fix except to buy new springs. Dodge's spring supplier were not doing their job right, that's for sure. Maybe the new trucks are better.