Because humans can do driving with comparable (worse, actually) hardware. Superhuman reflexes mean that software with superhuman driving abilities can exist.
This is the part that can be emulated in software. All you have to prove is that what ever platform/language you're using for the programming is Turing Complete, which is the case for almost all of the most popular languages.
So can I run Crysis on my TI calculator? I'm sure whatever platform/language is running on it is Turing Complete. I think you missed the point that the brain is also hardware.