Big fan of Poison Spyder. I've got their Brawler rock sliders on both of our Rubicons.
You've got the 2011. You don't really have enough power to break things unless you're really into abuse. Brand new, that was a 200HP engine. And after 100,000 miles, a few ponies have no doubt escaped. And it's in a vehicle with roughly the same aerodynamic characteristics as a barn. If you're planning to tow, I'd worry less about breakage and more about how you're going to make it up the hills on the interstate. The 3.8L is a solid, reliable engine, and it makes torque where you need it offroad. And it does reasonably well on the highway, other than the poor mileage. But add offroad gear and a trailer, and it's going to struggle. A lot.
The big tires and poor gearing probably has a lot to do with your failure. I don't think yours is a Rubicon (correct me if I'm wrong) so at best it had 3.73 gears. Those are not a good choice for the 35" tires. It could have had 3.55, which is worse, obviously, and at least some Wranglers were made with 3.02 gears in the diffs. I cannot imagine why, but they were.