There will ALWAYS be situations where any sort of auto-pilot will NOT be able to handle it, and that is why aircraft still have manual controls with fully qualified and experienced pilots sitting there overseeing the autopilot's operation and taking control where necessary or desired.
There's a major difference: In an aircraft, you're always minutes away from falling out of the sky in fiery doom. A car has the option of pulling over and stopping. Also, I've been watching Mayday, and all of the autopilot accidents have been a result of poor user interface design. If an autopilot has difficulty, then a human pilot will have difficulty. On the other hand, the Miracle on the Hudson was facilitated by good use of the autopilot, to make corrections that a human would not be able to handle, in total contrast to that hijacking off Africa.
For precisely the same reasons all motor vehicle operators should continue to be trained, tested for competency, licensed, and should strive to be experienced as drivers. ... I suspect you, personally, find driving a car to be a chore that you hate, and would rather just let the deus ex machina take the wheel from you instead, and damn the consequences.
Certainly, the operator of the car should be experienced and properly licensed. Again, as a bicyclist, I think more people should be using human power to move themselves, and not going around in multi-ton metal death boxes like it's a human right. I drive a manual transmission, so I already appreciate how people are deferring to the car's engineering, especially in boring situations.
Far from being a deus ex machina, an autonomous car is an engineered product. In principle, you can examine its code and analyze how it works. Once it works, it will work the same way every time, unless there are software updates or faults in the sensors. In contrast, your God-given brain is messy and unpredictable. The longer you go without an accident, the more complacent you become. The more safety features you have, the more careless you become. And as long as you go without accidents, the DMV does not bother testing your driving ability, but just renews your license sight-unseen. The current situation is demonstrably not safe.
The big question is whether having the car drive itself would make the humans' skills atrophy. My guess is that it would improve safety, having the humans drive only in tricky situations where they know they have to be careful. And the rest of the time, the computer would be driving with all of the safety techniques that it knows, constantly alert.