I have a 2 door. The limit is 2000lbs. The 3500 with gearing is referring to the 4 door JKU. They use the same manual for both JK and JKU.
All of that said, with 4.10 gears and bone stock everything else, I towed my old camper (~3500lbs). In a straight line I was fine. Slow as a slug and about 6-7mpg, but still ok. The first curvy road I hit I thought I would need to change my pants. My poor JK was getting pushed all over the palace because of its short wheelbase. I managed to get to where I was going, white knuckling it the whole way, but got my wife to bring out our pickup to tow back home. Never again. Keep in mind the trailer has a load leveling hitch and anti-sway bars and it was still bad. I am seriously surprised I didn’t get into a wreck.
I have subsequently towed a few <2000lb trailers without any issues. 3500 is WAY too much for a JK.
The Jeep just isn’t meant to be a tow vehicle. If you haven’t bought the camper, I’d pass on it. If you have it already, maybe consider a different tow vehicle or sell it.
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