Excellent question...but really NOT a concern for you and your 06, IMO. Will your COG change? Yes. Will it feel different? A bit.
Here's a story:
My previous Toy was an 82 LWB, that was *mostly* stock.

I ran Jeep CJ5 rears in the front, and Grand Wagoneers in the rear. Shocks were Rancho 9012's (longest available at the time), which I ran at setting '3' on the street, '1' on the trail and '4-5' when loaded with gear. The truck, for 14 years, was my daily driver/commuter/drive to trail/wheeler. The rear shocks were inboarded 2". Nothing in the way of sway bars.
This truck's suspension was about as soft as they come...and I was about 6" taller than stock, running 36" Swamper SX's.
Driving down a long hill in Victoria, BC, a number of years ago, 2 lanes in both directions. A 5-6 year old girl, on bike with training wheels, comes screaming out into traffic from a hidden driveway. Panic swerve @ 60-65Km/h (~40mph) had the Swampers ROARING like a small float plane taking off from a lake...3-4 fish tales (180*) in traffic before I came to a stop. In all likelihood, it was a fluke that I didn't flop/role...
Back to your point...I think you will do very well, and that these particular concerns are not that warranted.