I think the technical problems of driving a car by computer can be engineered far within safety requirements. In many factories robots perform much more hazardous work with impeccable precision.
However, driving a car is not just an engineering problem. There are many more problems to solve than just the software for the computer:
1/ Who is responsible for the eventual accident? Will it be operator of the computer or the programmer?
2/ Even if the computer is flawless, it does not guarantee that the OTHER DRIVERS will be flawless. Shit will happen. What happens if an automated car crashes into another automated car? Who decides whose algorithm/program is at fault?
3/ Who is going to be sued if the automated car kills someone? The computer programmer, the one who installs it, the one who builds the car, or all of the above?
4/ Who is going to insure an automated car? The only reason an insurance company will insure something is that SOMEONE is responsible for monthly payments and they can vindicate someone else if something goes wrong. I have yet to see an insurance company insure a computer program.
When it is all said in done, the problem with driving a car is above all a human problem, not a technical one.