I have a '06 with a leveling kit installed. I went to stock Hummer H2 wheels and tires after the lift and immediately started having this problem. The only time it's an issue is when I'm trying to line up in a parking spot. That's the only time I need to turn when it's not rolling.
Yesterday, I had the pump replaced and it didn't affect the problem whatsoever.
What I don't understand is, from my understanding, the H2 is built off of the 2500HD chassis. One would assume that vehicle uses the same steering components as the truck and it obviously turns the larger tires with no problems. So, that begs the question, what is different with the steering on the H2 than what is on the 2500 trucks? Obviously the pump is different, but not necessarily the output of the pump.
Anyone have any solid fixes for this problem?