I've owned a couple of awd "sports" cars, and as much fun as you can have with rwd, awd really allows you to drive hard in less than perfect conditions, and easily embarrass mustangs and camaros and the like. More importantly, however, it produces a handling setup that gives you a lot more control and confidence - with moderate understeer that can be easily controlled by throttle.
I've also driven high performance rwd and awd cars on racetracks, and despite the insane power levels, the awd cars had the same feel as the ones I owned.
You can still break the rear end of the awd Stinger free if desired (I did it easily on both test drives), and also turn off the nanny features for even more thrills (not been able to try that).
I was initially attracted to the idea of rwd, but after considering the above, I think I'll be very happy with the awd.