The reality is that a computer can shift and brake better than you (and drive by wire is all about weight reduction although it can provide the same feedback as mechanical linkages). As an example, while I assume Button knows how to double clutch (although, being British, he may still call it double declutching), his Formula 1 car has a semi-automatic transmission with flappy paddle (drive by wire) shifters and no clutch pedal.

No matter how good you are, a computer driven car could beat you in whatever video racing game you choose. The only reason to use the word "could" instead of "will" is that they are programmed not to. The only human thing the computer car needs is the ideal line around a track and, right now, cars can't figure that out for themselves.