I drove one of my 03's with auto transmission up my driveway and stopped on a piece of ice with my left rear wheel, as I pushed on the throttle to proceed forward, the left wheel was spinning on the ice and the right wheel was on black top and I could not proceed forward!!! I put the truck in reverse and I was able to back up without spinning the wheel? I turned the truck around and put the right wheel on the ice patch and stopped, pushed the the throttle (gas pedal) and the wheels did not spin at all, and was able to proceed forward. I thought that your right rear wheel was your drive wheel and as soon as you slipped with you left wheel the limited slip would lock in and both wheels would be engaged.This truck has 3.73 gears and the limited slip installed from the factory. Do I have a problem with the rear end not engaging correctly???