Mike, I think that'll be white knuckle driving for part of the way, and very slow driving the rest. You'll arrive at the race spot drained, and behind schedule.
If you're even semi-serious about the racing then you'll have at least another 500lbs on board for extra wheels/tires, tools/jacks, batteries, water, oil, etc. along with your personal effects for a weekend's racing. You'll be right at the max of your vehicles capacity going uphill, and stopping that load on a 5-8% grade will be difficult at best, and dangerous at worst, even with trailer brakes.
No offense, but the Jeep has a short wheelbase, fairly high CG, and modest brakes. The engine is good and torquey but not up to the same level as a decent V8.
Here's an idea: how about an old ('82-'99) gas or diesel suburban? You can sleep in the back, they tow like nobody's business, and do OK on gas mileage. You personal junk can go in the back and you still have room to sleep (take out the second and third row seats and put a single mattress back there). You'll arrive at the race stop reasonably fresh and relaxed, on time, and have an OK sleep on the night before practice.
Good luck!