The stock "P" tire that came on KJ's should be run about 32-33psi.Any other tires put on that are "LT" tires will need a different psi rating,will be also different between load range "C","D",and "E" tires.
When I ran MT/R's they wore best and rode best at 38psi(all 3 different sized sets,225/75's-245/75's-and 265/75's),my Interco Trxus MT's are best at 42psi.
With the newer radial tires the chaulk test really does not work anymore and is useless on vehicles that have idependant suspensions,you will get a false reading and end up running to much or to little psi.Work ok with the solid axles.