The F1 engines are already revved up when they start. They just engage the clutch. And F1 gear changes are pretty much instant as the old and new gears are connected at the same time and the moment that would start to cause problems the old one gets disconnected
But yeah its the real wheel drive that stops F1 cars going faster 0 to 60. (limited by the friction instead of the power the engine can deliver)
The whole startup trickery with the two clutch paddles is interesting too. Basically they use one of the paddle to find the bite point and leave it there and then use the other to fully disengage the clutch. Then once the lights go out they drop the other clutch so the clutch goes instantly to the bite point and then use the other paddle to modulate the launch (they are pretty much flatout while standing still and use the clutch to control wheel spin). A launch control computer probably could do this better but such things are banned in F1.