I know 33" tires are not recommended on the KK. But I just found a tire size that seems like it might fit. Its 255/85/R16. It's narrower than the 265's but just over an inch taller.
I look at my wheel wells with the 245's and, to me, it just seems like it could fit 2 more inches. What do y'all think of this size on properly offset crager soft 8's with a little extra rear bumpstop?
I know its a long shot, but hey I've dreamed of running 33's.

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(The worst thing you can do to a Jeep...is never taking it off road.)
'15 WK2 Ecodiesel Overland (My Overland rig)
'11 Green KK Renegade (My Crawler!)
Texans, come join us at Lone Star LOST!
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Short answer = NO
Unless you like to do a lot of cutting / trimming
plus regearing to 4.56s at least to gain any power back at all
Someone else tried it for a while, can't remember who it was right now

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MUDD'S MOTORSPORT'S We do IFS lift installs ,
03 OVERLAND EDITION /Kilby-Skidrow-Mopar-4XGuard skids/ 2.5 inch TOTAL CONTROL JBA coilovers -JBA Arms/MOABS-31 FALKEN WILDPEAK AT3W / 4.10's etc, 04 Kilimanjaro Edition loaded, plus 05 KJ limited

I plan on regearing any way. But what would I have to trim?

_________________
(The worst thing you can do to a Jeep...is never taking it off road.)
'15 WK2 Ecodiesel Overland (My Overland rig)
'11 Green KK Renegade (My Crawler!)
Texans, come join us at Lone Star LOST!
https://www.facebook.com/groups/253493118163702?ref=bookmark&_rdr

With only a 4 inch lift , trimming of flares / bumper / liner possibly, etc
Plus you need 6 inches of lift to start with
with 4 inches of lift I'd suggest 265-75-16s and 4.56 gears,
not worth the extra for another 1/2 inch of ground height

_________________
MUDD'S MOTORSPORT'S We do IFS lift installs ,
03 OVERLAND EDITION /Kilby-Skidrow-Mopar-4XGuard skids/ 2.5 inch TOTAL CONTROL JBA coilovers -JBA Arms/MOABS-31 FALKEN WILDPEAK AT3W / 4.10's etc, 04 Kilimanjaro Edition loaded, plus 05 KJ limited