32" tires fit perfectly fine under a 2" suspension lift which gives more than enough vertical clearance. Your problem has nothing to do with the suspension lift height and everything to do with the excessive backspacing of your wheel that has the tire positioned too close to the suspension system. However, this is easily curable with a washer placed under both of the steering stop bolts per the instructions at http://www.imajeep.com/Steering_Stop...ering_stop.htm
I, and a lot of others on this forum are proof that 32's and 2" BB will work. If you have stock wheels you will need either spacers or wheels with a different backspacing. I have not heard any rubbing even when wheeling or turning sharp. I have even gotten "air" at the top of some sand dunes and not had any problems.
I've heard that 31's will rub when full locked? I'd like to for now put 31's on my TJ I've heard some people say they will rub when full turned and others say no what is true? Mine is stock for now but plan to lift later most likely a 2"BB. Thanks
Read my above post that gives a link to simple instructions on how to eliminate the minor rubbing that occasionally happens with 31x10.50 tires when the steering wheel is turned all the way.