Hey Rez,
I thought mine was challenging with a Blown 03 Cobra engine. That Hellcat Redeye is going to be nothing short of stunning in the performance category. I am 550 ft/lbs of TQ at the tire. You are 664 ft/lbs at the flywheel at your HP peak (6300 rpm).
The deceiving aspect of blown engines and PD blown in particular is that they produce somewhere north of 80/85% of their max torque just off idle, say 1400 rpm. That means explosive throttle response. It also means any ring and pinion of 3.xx or more is totally useless in the car and potentially lethal to the uninitiated.
Even once you get acclimated to the torque it will cause you anxiety each time you get on it — even more so if it hooks up. Although we have a difference in where our engine's power is measured, yours at the flywheel and mine at the tire, I think it is a pretty fair bet that Dodge underrated that engine for political reasons like insurance etc. I have a very strong suspicion yours is decidedly more potent than mine and mine will scare the living daylights out of you — without using full throttle.
While it is obviously your call, I would encourage you to find a big parking lot with an absolute minimum of light poles (and parked cars) to get a sense of where and under what conditions your car goes berserk because with your power level it certainly will.
It will also be an absolute blast to drive — once you know how to manage the power.