Well your driving must be rather inappropriate for the road. Ex-racing driving skills have NO relevance on the normal road.
I disagree, and it's where the analogy holds. It's nothing to do with speed: Faced with a potential accident the average driver plants their right foot on the middle pedal, closes both eyes and leaves two black lines leading straight to the scene of the accident. Having racing past (car handling ability) will start with the basic 'eyes open, evaluate', and include the ability to control the car, perhaps going round the problem, or through a soft spot in the hedge etc. It gets over the 'panic, suprise' reaction that's prevalent if you've never seen anything like that before.