There is a 3" difference in tread width between the originally issued tires and the 32x11.50s.
I suspect when you flex the suspension while on the trail you will find the increase in width with the factory rim off set will rub in spots inside the fender well even with a 3" lift.
You will need to adjust the steering stops so the tires are less likely to rub inside the wheel wells.
I have a 2" lift with the metric equivalent 32" tires on 17" JK rims and 1.25" wheel adapters; this setup has not rubbed yet when the suspension is flexed.