Yes, do keep in mind the way the weight will be distributed. Like PhilnJim mentions you have 2,325 lbs, then subtract some to allow for the hitch hardware. This pretty much allows about 2,000 lbs of gear for the trailer like pots/pans/other kitchen stuff, bedding, food (or buy when you get there), water (or fill when you get there), tools for the trailer, one or two batteries, maybe even a generator and other tanks (drain before you leave and hope the dump station is CLOSE).
I hope the trailer has an equal or lesser GTWR (Gross Vehicle Weight Rating for trailers) than the Jeep. Besides the rear axle weight and rating, you'll also need to know the CGVWR or Combined Gross Vehicle Weight Rating. You can bet that 6,500 lb tow rating for your Jeep probably means the Jeep shouldn't be carrying anything. Here's an example, how to calculate this stuff.
The trailer (GTWR is unknown):
UTW - 4,175, unladen(dry) trailer weight (may not include some options and accessories added by the manufacturer or dealer).
CW - 1,500, cargo weight, EVERYTHING you put into the trailer, or installed in the trailer after it was built and rated.
GTW - 5,675, Gross trailer weight, hopefully below the GTWR and contents distributed properly.
The Tow Vehicle, (The Jeep, unknown GVWR, RAWR, FAWR, CGVWR):
UTW: 4,000 lbs, just what is in the Jeep and the fuel tank and all fluids topped off and you the driver.
GVW: 4,800 lbs, the wife, kids, pets, toys, munchies, travel items, other gear, and the trailer hitch hardware
RAW: Unknown, how much of this weight is over the rear axle? Will there be enough for the 10% to 12% of the trailer's tongue weight or 567 to 630 lbs ?
FAW: Unknown, how much of this weight is over the front axle?
CGVW: What about the combined weight of 4,800 lbs of Jeep plus the trailer weight of 5675 or a combined weight of 10,475. Does this exceed the rating which requires the frame, axles, wheels, brakes, suspension, drive shaft, trans, U-joints, engine, cooling systems, alternator and battery to support all this?
This is why knowing your weights and staying within these limits is important. Any part of being overweight means you are overweight. A vehicle operating near its maximum ratings will move slower, brake slower and struggle up and down hills and provide rougher rides than what your used to but if within weight ratings you should be good. Just don't push it!
Keep in mind, even big diesels break doing this. I belong to other forums and this is reported all the time. If even the big trucks "break" when they are within the proper ratings, why push it by being overweight.
I'd like to conclude that the purpose of this post is to educate, not create fear and disappointment. Realize that even if you get a bigger vehicle you must drive slower, brake sooner, shift later, make wider turns and tolerate the louder engine noises from the components trying to do their job. This has been going on for decades but the fun far outweighs a possible problem. If you minimize your problems, you'll maximize the fun! Simple as that.