Comparing the liberty to its closest wrangler cousin, the Sahara Unlimited:
Same engine. Same transmission. Wrangler is 10 inches wider but with a greater departure angle. Liberty is shorter but has a better turn radius.
The wrangler has lower gears, stronger axles, taller tires.
The liberty has a better towing capacity, more seats, better 1/4 mile time and a smoother riding suspension.
For someone who used a jeep EXCLUSIVELY off road the choice is obviously a wrangler.
For someone like me who uses a jeep for towing a tractor, hauling kids, road trips, commuting from work every day, and whose off roading consists mainly of tractor roads and muddy cow pastures on the way to the deer stand, drives through the slough to the back of the property, trips in the snow and ice to the ski slopes, off-road "shortcuts" in the national parks while on vacation, and fording the bridge off of my street onto the main highway when the water is up (freaky), the choice is obviously a liberty.
I've driven quite a few vehicles off road, from suburbans to pickups to ATVs to dune buggies to a stock Toyota Camry (don't ask LOL) and my liberty would take almost every one of them to school. It may not could keep up with a wrangler on a rock crawling trail but there's no rocks to crawl here. Only mud and sandy riverbanks.