I'm pretty sure you are looking at times for the full course at VIR as I'm not sure a lot of data is available for the extended course (grand) at this time.
I turned a 2:10.7 in the DAL NSX in 2003 in qualifying for the VIR 250 that year. Thats with a stock engine in a 1991 NSX with suspension work while on track tires. Faster than that should be easy given we had to run at 2730 lbs which required us to run a ton of ballast in the car and the suspension was largely unsorted. I'm positive their car, as currently prepped, could go faster still. I'd consider that car mildly prepped as the engine was a bone stock 40k mile street car engine at the time.
For comparison to a bone stock NSX on street tires, I turned laps in the 2:15 to 2:17 range in my bone stock 1991 back in 2000 though she could only do that for a lap or two before the tires felt like you'd driven through an oil slick and the brakes were non-existant.
Note that Porsche 996's prepped similar to the modified NSX above (not a GT3) will turn laps in the mid 2:05 to 2:06 range at 3050 lbs with a good driver. A GT3 would be much faster than that as it makes another 60 hp minimum at the wheels and has better suspension geometry (assuming similar shocks/springs).
If you are asking because you are heading there for a drivers ed event, I'd suggest you pay less attention to what kinds of laptimes others have turned and simply focus on your laptimes from lap to lap, session to session, day to day. Focus on being smooth and learning the track, and above all else, listening to your instructor. You'll go much faster with that line of thinking than if you go to the event thinking you're going to turn anything close to 2:20's your first time there.
Good luck and have fun. VIR is a great facility.