Enough truck for 5th wheel?

We have a 2007 Dodge Ram 2500 quad cab, with a V8, 5.7 liter engine. It is a four wheel drive, and a long bed. We have done quite a few mods to it because we previously owned a Travel Lite truck camper (with no slides). We also upgraded the tires to E size tires. Along with that, we installed four Bilstein shocks and a Bilstein shock/damper, an additional leaf spring, a K&N filter, and a sway bar. Oh, and two air bags.

Welcome to the forum where some members have miles and years of towing experience and other do it a few times a year. You get answers from arm chair lawyers that are clueless of how motor vehicle weight laws work with roadside enforcement or in a civil court case. Like other more experienced members have said Dot or state don't enforce the trucks gvwr/gcwr or payload numbers. Just axle/tire load numbers.

Now the truck....good strong chassis with a 5200 fawr/6010 rawr = 11210 lbs of legal load carrying capacity and braking capacity. The chassis won't have any issues from a legal or safety standpoint for handling that size trailer.
IMO the 12 year old trucks weak area is the 5.7 Hemi HP/torque numbers when compared to the newer 5.7 hemi especially if the truck has large over size tires (diameter). I'm not saying the hemi won't pull it ...but don't be surprised if its slow in the hills and high head wind areas.
Moving up to 4.10 would get you about 230 more rpms.....4.56 gear will put you in the 2800-2900 rpm rangeat 60 mph with 32' tires.

If it was my truck I would get the camper and hit the road. Hell my old '87 2500 chevy 5.7 with 4.10 gears with a whoppin' 195 hp and 285 torque pulled a 8k 5th wheel all over the southern Rockies for 9 years.