I agree with BigJim. It sounds like the friction ability of your new road is too high to use 4WD on - you should be using 2WD. A definite way to verify this is to go on a loose dirt or sandy road (or snow), and see if the thing pops when you're in 4WD. If not, then it's definitely the case that the new road is like pavement - don't use 4WD on it.

1977 CJ-7, fiberglass body, AMC 360 w/ headers, DUI ignition, Edelbrock intake and Holley 4150 carb, TF999, Dana 300, 4.56 gears lockers, York air comp, 4" susp lift, 2" body lift, BFG 35" M-T tires, Megashifter, AGR pump & box, REP8000 winch.