There are many drivetrain features that set the Rubicon apart from everything else on the road:
The Wrangler is one of only 4 vehicles in the U.S. market with a solid axle in the rear and in front. (The others are the Dodge Ram Heavy Duty, the Ford F-Series SuperDuty, and the Mercedes-Benz Geländewagen.) The advantages of solid axles over the independent-suspension alternatives are strength, simplicity, articulation, and aftermarket support providing the opportunity for even better performance.
Differential locks are another too-rare feature with which these 4 vehicles can be equipped, but only the Geländewagen, Ram Power Wagon, and Wrangler Rubicon have lockers rear and front. Without locking differentials, the drivetrain transfers power from the engine to whichever tires have the least traction with the ground. Thus, most AWD vehicles are actually a true 1-wheel-drive like most rear- or front-wheel drive cars; most 4WD vehicles are a true 2-wheel-drive (power goes to 1 front and 1 rear tire, whichever have the least grip); add a rear diff lock and you have a true 3-wheel-drive (1 front and both rear wheels); only a true part-time 4WD system with differential locks front and rear is a TRUE 4-wheel-drive that can transfer 100% of the engine's power to whichever tire has the most traction.
Only the Power Wagon and Rubicon offer a disconnecting front sway bar to increase axle articulation. Sway bars are de-facto equipment for sway control and flatter cornering when on-road; in rough terrain, sway bars limit how much opposing wheels can travel up and down in relation to each other, which leads to the vehicle lifting one or more tires off the ground. A wheel up in the air has no traction and provides no stability - getting stuck and/or rolling over aren't the most desirable results when you're miles from civilization.
Only the Rubicon offers a 4:1 reduction in the transfer case for true rockcrawling capability. The higher low-range gearing in the Ram & SuperDuty (2.72:1) and Geländewagen (2.64:1) simply can't provide the torque multiplication, compression braking, smoothness, and crawl-speed throttle modulation that the Rubicon does. Even the standard non-Rubicon Jeep models only offer a 2.72:1 ratio. Deeper gearing is to the off-road world as higher horsepower is to the drag racing world.
When you see the letters R-U-B-I-C-O-N across the hood of a Jeep, you know that vehicle is equipped with specialized hardware for uncompromised offroad performance.