The picture's not that great, but it's actually real wood (handcarved IIRC). It looks a lot better in person, and it gives a nice, solid sound when you knock on it.
I love the way the interior looks. Black on black can sometimes be a little severe, but this car has enough wood and chrome to break up the monotony without being over the top.
As for the "tranny cooler", I think that's actually the A/C condenser. I haven't poked around the engine bay too much yet, but I believe the intercooler is the big one you see in the picture, then the radiator is behind it, and the oil cooler is underneath those in the lower grille.