Computers are good at lots of things like playing chess, and still completely incapable at lots of things that involve common sense. Expecting autonomous cars to be better than human drivers eventually is one thing, but it is certainly not obvious that we are there yet.
That's just ridiculous. It is going to be safer in some cases and less safe in others, and obviously it depends on the system and the driving conditions. To say that a computer is necessarily a better driver is just science fiction until we have solid data showing that to be the case.
Over 25 years, actually - CMU's ALVINN (1989) was one of the first full-sized vehicle implementations:
http://repository.cmu.edu/cgi/viewcontent.cgi?article=2874&c...
It was preceded by an E-MAXX based RC car system called DAVE (DARPA Autonomous Vehicle).
CMU also worked on an investigated other systems, going back to 1984 or so:
http://www.cs.cmu.edu/afs/cs/project/alv/www/
They had an interesting system called the Terragator, from at least 1983; I can't find a paper about this system, though I know they exist - there is a video, though:
https://www.youtube.com/watch?v=beGRM9ZmWlI
One might consider the Stanford Cart as an earlier example (I believed it used computer vision techniques - and was really slow at computing the "next move"):
https://web.stanford.edu/~learnest/cart.htm
(side note: As part of SAIL, the Cart was instrumental in paving the way for Thrun's Stanley - which won the DARPA Grand Challenge, and ultimately led to Google's efforts in self-driving cars)
ALVINN was unique in that it used a (simple compared to today's CNNs and deep learning) neural network (and a WARP systolic array):
https://en.wikipedia.org/wiki/WARP_(systolic_array)
...coupled to a camera to digitize and model/learn the road features for driving, while "watching" the human driver (early form of "behavioral cloning" - but it wasn't termed as such in the various papers you can find about ALVINN).
Interestingly, during the ML Class in 2011 (which I participated in), one of the students - after we were shown several times how ALVINN worked - decided to replicate the system using "modern hardware":
http://blog.davidsingleton.org/nnrccar/
We've really come a long way...