I have an '09 JKUR that runs 5:38 gears and 37s. I reprogrammed both gear ratio and actual tire diameter years ago with an AEV Procal. You should do the same. Doing so corrected the shift points and the speedometer is dead on the money as tracked with a GPS. Procals aren't tuners, they just reset for gears & tire size and have a few other useful features, such as shutting off the stupid sway bar light after you throw that electro-fail POS in the trash, centering the steering wheel via the sensor, and using the dash light illumination switch to increase RPM at idle (winching, etc.). Worth the money.
'09 JKRU. 4" Teraflex long arm, Teraflex R44 housing, Teraflex / Fox Resis, Poly Performance skids, Nemesis Billy Rockers, Nemesis flares, 37" ATZ P3s on 17" 5x5.5" Trailready HDs, Spyntec hubs, Teraflex BBK, Mopar BBK master/booster, Superior front & Alloy USA rear axle shafts, CTMs, Reids, Synergy drag link & tie rod, WTOR hydro-boosted steering, 5.38s, TF Dual Rate front bar, TF bumpers, Warn Powerplant, Tom Woods shafts, AA xfer case cable, Kilby canister relo, RH4x4 cage.