No it's not.
Every day large chunks of the world's population are able to drive safely to their destinations. We have illustrated an ability to do this year after year and yet there's this idea that the best solution to stopping accidents is to ban humans from the equation.
I agree with your thoughts on properly training people on how to drive a car - Western countries that have better driving training and safer cars score far better in deaths per 100k motor vehicles than poorer countries and this is something that can still be improved on. That I was able to get a manual license (in Australia) without needing to demonstrate a hill start to my tester is a complete joke.
I'm not saying that self-driving cars are a bad thing - I would happily set my car to autopilot while I cruise down the highway and eat lunch or take a phone call. I'd love the additional safety of having a system that can brake perfectly for me if I'm about to crash. Being able to take a tight park because I can just get out and then watch my car go into the space? Awesome.
However, to completely ban humans is going too far. Sure, be much harsher on those at fault in accidents where they've disabled a safety feature that could have provably stopped the accident. But don't take the "a few people are bad so let's stop everyone" approach to something that we've already demonstrated a high level of competency at.