If 'driving dynamics' are the most important factor, the RWD is likely your best choice. It gives that 'sports car feel' that a lot of enthusiasts talk about. For 'performance', the RWD is also slightly faster than the AWD, reportedly - but the difference is minuscule.
RWD is generally cheaper, even with the Stinger AWD $1000 discount that should be available to you. Most dealers in my area tacked it on from the start when advertising their prices. I am not up to date on the Lease cash (I purchased), but if you're getting $2k rebate for the AWD over a RWD, then you're nearly breaking even there. If the $2k AWD Lease cash you mention is in ADDITION to the $1k AWD discount, then you'd actually be coming out ahead.
In my neck of the woods, inclement weather is a regular part of life, so the choice was obvious for me. In fact, while shopping, I didn't see a single RWD vehicle available in my area. I was not buying a sports car, so the RWD 'fun factor' was irrelevant to me anyway.
Your best bet? Test drive both. That will give you the 'feel' for each one. Heck, go to multiple dealers and test drive both if you can multiple times. It's a solid investment, but one that deserves all the research you're willing to do.
Just my 2 coppers,
-Tim
