You will be fine with the 265's, I also have a 3.7L and was initially unsure about larger tires. Now that i have upgraded I can barely tell a difference, except for the fact that it no longer looks like a stocker haha.
As far as brakes, they are the same on all the models I believe and they should be more than good enough to stop some 32's. Take a look at the Goodyear wrangler Duratracs, they're a good mix off mud/all-terrain with a reasonable wear life, not to mention all the complements from other offroaders.
2015 Pro-4x Nissan Frontier/Factory rear electronic locker in factory modified rear Titan axle/2.5"Front\2"Rear lift
Sold-2008 3.7L QT-1 dark blue Jeep Commander/3+" modified OME lift with 3/8" Rocky Road strut spacer/4" rear SL springs/265/70/r17 Goodyear Duratracs (Load E)/1.5" spidertraxx spacers/F-150 Monroe Load Levelers/4xguard matrix, front guard, belly guard, and rock sliders/Airflow snorkel/Thrush welded exhaust/
Complete 3.07 to 3.73 V6 gear swap
Powertrax rear locker