Regarding weight distribution, the engine is 500lbs for that generation viper versus 326lbs for the F20C. The transmission is close enough to the center of the car that the weight difference, if any, probably isn't material. The additional fluids required by the viper motor probably add an additional 10-20lbs. Moving the battery (20lbs average) to the trunk results in:
2800lbs stock, 50:50
2989lbs w/ viper motor + incremental increase in fluids, 53.2:46.8
After battery swap, 52.5:47.5
Not bad IMO. I think the most dramatic change will be the 300%(!!!)+ increase in peak torque which would occur near idle instead of redline. This could be somewhat controlled through gearing adjustments in the differential but no matter what it is going to be a $hit show. It's already a handfull stock when driven hard. I bet it gets the same mileage as a stock AP2.