I'm running Canyons with 31x10.50 BFG's which just fit w/o having to add a spacer to the 3rd brake light. A friend had 32x11.50's and just removed the 3rd brake light. You could add a small spacer to that mount and raise it up a little and have the tire fit and prob just rest on the rear bumper. As stated above you will have to trim down the rubber bumpers that are mounted on the tailgate. Good luck and post up some pics when your done.
2010 Rubicon Unlimited
: Dana 30/44, 31" BFG's, Rubicon/OME springs, Superwinch EPi 9.0, Detroit No-Slip locker - SOLD
2006 LJ Rubicon
: OME, JKS BL/MML/QD/TB. 33" TSL's on AR767's, Medic Eng/TT, Highrock F/R, Superwinch EPi 9.0, Big Daddy Sliders, Kilby tank skid - SOLD
: 2" RE BB, 1.25" JKS BL, 33" TSL's on AR767's - SOLD