In the past 2.5 yrs, we have towed around 22,000 miles (camping 141 nights) with a 2004 1500 Dodge Quad Cab Hemi. Trailer tongue weight is 800lbs, and we load approx. 300 lbs of gear in the truck bed. I've weighed the rig twice at CAT scales, and the fully loaded trailer axle weight is around 6,000 lbs (while hooked). I use 1,000 lb. Reese round bars with the equalizer, and no other sway control.
We have been to each end of US1 (Key West and Maine), up to the far reaches of BC (Prince Edward Island). We have towed across Kansas with high wind warnings, through the mountains of NC and TN, the hills of Arkansas, and the steep inclines of Colorado. I have never experienced the first moment of sway (even in the middle of storms), and no popped rivets.
The only problem the truck has experienced was a transmission rebuild at 68,900 miles. (This problem was self-induced as I pulled 3,000 lbs of motorcycle trailer for three years without locking the torque converter with the tow-haul mode). The only modifications to the truck have been the installation of Monroe coil-over load equalizing shocks on the rear. I had experienced some "porpoising" on a few interstates, and the OEM shocks were probably worn out anyway. Either way, the installation of new shocks solved this issue.
Overall, I'm very pleased with the Dodge as a TV. I have been tempted several times (convinced by reading this forum that I didn't have enough truck) to test drive other models. I keep coming back to my old Dodge. It has served me well, and I still like it better than the new trucks.
Tires, on the other hand, are a whole separate issue. After last year's experience with GYMs, there is a set of Maxxis "E's" just waiting for installation. I know.....too much tire.....not enough truck!