Yeah, but that would be only putting a bandage on a severed arm. The NSX-R Race car is a huge piece of crap, mostly due to a total lack of downforce (the normal street car with a wing produces only slightly less). It would be better to use a better car.
Zardoz
This is a good list. Add the Team Oreca Viper to it.
Noted:
ABT Audi TT Touring Car
Opel Astra Touring Car (Opel Team Pheonix)
Chevrolet Camaro LM Race Car
Chevrolet Corvette C5-R Race Car
Pagani Zonda C12S 7.3 (lightened, stiffened, racing tires) (what I used the first time)
Nissan R390 GT-1 Road Car (with wing)
Suzuki GSXR/4 (fully done up)
Dodge Viper GTS-R Race Car (or the concept car, for that matter)
BMW M3 GTR Race Car (probably a little overkill).
Also, if you have a JGTC car already, you can use that, but don't buy one for the race, as they cost twice as much as they should.