Briefly:
1. The driver would be seated in the centre, head positioned exactly in the middle of the wheelbase and body positioned exactly along the centreline of the car (a la McLaren F1). There could be two seats aft of the driver as well.
2. The car would be mid-engined of course, with a longitudanal 7 spd DSG gearbox taking drive directly to the rear wheels. The engine and gearbox would be, racecar-style, part of the supporting structure.
3. Speaking of the engine, I'd like a 6.0 V12 with roundabout 670bhp, without any forced induction please. This way it would have a specific output of more than 110 bhp/ litre, which is pretty snazzy I'd say. Being a BMW fan, I'd like it to have an M5 V10 with 2 extra cylinders grafted on somehow and just ever-so-slightly tuned to kick out a bit more.
4. The entire car's structure will be constructed of Carbon-Kevlar, Carbon-Reinforced-Plastic, Titanium and Magnesium. It would naturally also have a honey-comb-mesh tub as well. Brakes would be Carbon-ceramic units with optional ABS assistance.
5. The car would have adaptive aerodynamics (only the bare minimum), giving you more when cornering and less when straight-lining. A huge diffuser would ensure stability at high speeds.
6. Weight must be kept down, with a target of less than 1050 Kg. This would give you about 0,5KW/ Kg, which would put a smile on anyone's face I think.
7. The looks of the car has to be form following function. No unneeded bits of bodywork here.
8. Concerning extras, achieving the targeted weight would eliminate fancies like air-con, ICE etc., but I'd like some air-con in their nevertheless. No need for expensive audio equipment, the engine would provide all the music I need!
9. Lastly, all my dreamcar would need is an extremely twisty and deserted road...