Working flying cars already exists They are just super expensive. They are basically airplanes that fold their wings up and then you drive it on a street. You still have to have a pilot license.
That viral thing from a couple weeks ago was not a flying car. It was a drone on steroids that only really works over water.
Even if we had sci-fi flying cars, I'd be worried about stupid people. We got enough dummies on the roads now. Could you imagine them in the sky?
We already have flying cars. https://www.youtube.com/watch?v=VRZNLBL7Px4
As for the whole "people can't drive so they shouldn't be able to fly" thing: Just make them fly themselves. We already have self-driving cars.