We run BFG's "project" tire, which is a tire designed for a trophy truck or class 8 truck....2 wheel drive, high horsepower, brutal on rear tires.They have a shallow tread depth, big lugs and a fairly hard compound to give the most tread stability and longevity. Unmodified on a trophy truck they still cant go more than 300 or 400 miles without severe wear, but with our underpowered stock truck, we run the whole race with them and groove the crap out of them for more traction without any severe wear problems.
No real argument, the BFGoodrich is the best tire in the desert. They have overalled the last 20 Baja 1000's, and dominate almost all the other events, sometimes just by sheer number of people that run BFG's, but they also have an awesome pit support program (free for people that run BFG's) that also goes to the rockcrawling comp events. For many people they could not go racing without that support. The things that BFG does for off road motorsports in general makes me loyal to them as a company.
Goodyear does have some good tires, and does win a few races, and now Toyo has stepped it up and sponsored a couple of big name teams like PCI, Fabtech Scott Stienburger, and Robby Gordon's Red Bull trophy trucks.
Mickey Thompson dosent have a huge desert presence, but they sponsor a couple of mid size buggy teams. I dont think they are a bad tire, but for the money I would look at other tires as a better choice, just my opinion.