I don't think adding something to a driver's test is going to change much.
Even if it took thirty years and even if it was only ten percent effective, what is the negatives to this plan? One more minor skill to driving? One more bullet in the driving code?
The Homer Simpson of excuses, if you will:
"Trying is the first step to failure"
They'll still be opening doors and riding bikes however.
> how many people keep 4 seconds of distance, wear their seatbelt, never speed, adjust their mirrors correctly, look both ways for trains, etc.
Most people? Well except for the speed one. But the vast majority of people wear their seatbelts, give a safe travelling distance (although people are terrible at judging it), and are careful at railroad crossings.
Will they? I'd expect an autonomous car's doors to be under its control unless the passenger declares an emergency (which would be a Big Deal, call the police, etc.). Also, once autonomous cars are plentiful and transportation is dirt cheap, how many people will still be riding bikes in congested areas?
Why do you think it's going to be dirt cheap? I expect it's going to be half of an Uber ride, but not much less.