It really doesn't matter one bit if you drive the NSX to your first date or not. If the girl thinks you are trying to impress her, then you have a problem, NSX or no NSX.
If I liked a girl, I wouldn't be taking her out on a "date". It certainly wouldn't be on my prime night of the week, and it most certainly wouldn't be to Dinner unless we were hungry and walking past Taco Bell.