I just did the Readylift kit lifting the front 2 inches and the rear 1 inch on my AT4. Before I can answer your question it is important to understand my journey and what worked and what did not work.
Before I did this lift, I installed 285/65/20 Goodyear AT Ultra Terrain tires on the stock rims and had to use tie wraps on the wheel well covers right next to the mud flap brackets on both front sides. The front (toward the bumper) was ok, just a very small rub next to the mud flap bracket on the wheel well cover. Punched a small hole, wrapped a tie wrap around pulling it back and no rub.
Fast forward and I finally get to install the Readylift lift/level kit and my problem now is the tires rub on the new upper control arm (UCA) supplied by Readylift (something they warn on their web-site). At first just sitting it has about 1/8" or so clearance but when you drive over bumps the tire swells and it rubs.
So now I decide to upgrade the wheels with a more negative offset (stock offset +26). Doing this would move the tires away from the UCA. So i purchase some Fuel rims with +1 offset, reinstall the 285/65/20 and this changes everything. Now the front of the wheel well needs to be trimmed, but the tires rub at full lock in the rear towards the engine. I try to see what I can do and there is no options. At the point on the inner most part of the wheel well there is metal frame right behind the wheel liner. There is no possible way to trim this without cutting the frame brackets something I was not willing to do. Driving was not bad and the rub was only at full lock either right or left. As for me this bothered me too much to leave alone. It sounded horrible coming out of a drive way or parking lot.
To remediate, I downsize the tire from 285/65/20 to 275/65/20 and this solves everything. No rub, plenty of clearance and only a half inch smaller diameter than the 285's.
I hope this helps. I wonder if I had gotten aftermarket rims with a more positive offset (+12 instead of +1) that would of worked. Not sure