I'd be surprised if they had the ground clearance that my silverado does. (almost bone stock silverado 1500 4wd) Very limited off-road indeed. I'd put ground clearance at 12" at best.
This is a crossover ("X") not a true off-road vehicle. I'll predict open differential and modulating the brakes to limit slip.
A very good question...my guess is not much...I'll bet the AWD will be very similar to the setup in the Lexus 450h...no linked transmission between front & rear, but separate electric motors with the computer controlling when AWD is deployed...