I have had the Bridgestone Revos, Michelin LTX, BFG Longtrail Radials, and now Mastercraft ATX. Revos were good on road and in snow, LTX wore like steel got 65k out of them good in the snow but noises on the road, stay away from the BFG LOng trails they sucked at everything. I really like the Mastercraft ATX I have now, moderate road noise, aggressive tread, great in snow and have a 60k tread warranty.
For offroad a MT can't be beat. I have BFG KMs on my YJ, but it is just a toy. If you are going to play in the mud you need a mud terrain, but be prepared to pay more for the tires, get lower MPG and have them war out faster. I ran Pro Comp MTs on my XJ and they were louder then the and the exhaust at 60 mph and only lasted 40k miles.
To give you a good recommendation we need to know your priorities for how you plan to use the KJ.
1992 YJ Sahara- 4.5" RE XD, 1" BL, 1" MML, 35" BFG MT, 8.8 w/Aussie, D30 w/Ten Factory shafts/ Aussie, 4:10 gears, Soild Diff Covers, SYE, CV Drive shaft, OBA, Flowmaster Super 44,, Custom head pipe, Super Chip, Boared out TB, Rock It Intake , Goferit Tie Rod Flip, 99+ intake manifold/Steering pump, custom front/rear bumpers,Hand Throttle, Hurst Shifter, Smitty Built sliders , 6" TJ flairs, Kilby belly up skid, Quadratech 9K winch, ZJ PS cooler. 01 XJ Sport-2" lift, 31x10.50 MT/ 02 Liberty 2" Lift