I've driven them all, and I think it's doubtful most people could tell the
difference, and it would depend a lot on the circumstances.  Just changing
the tire pressures can make a car push or oversteer, and there aren't many
performance cars with front wheel drive these days.  Snow and ice would
definitely make an AWD car standout, and lifting your foot off the throttle
in the middle of a turn should make that rear engine rear wheel drive car
spin out, but with today's traction control that may not be the case.

Now, you just have to find someone who will drive a car around a track
blindfolded.