That is essentially what Apple CarPlay and Android Auto are. The phone generates a secondary screen with a simplified UI and projects that to the car. The car displays it as a video and returns touch events to the phone.
Some day, I hope a lawyer will team up with a UI researcher, and then sue car manufactures for "safety theater" features like this that endanger people.
One of my favorites? The click through legal disclaimer that blocks my view of the backup camera screen every single time I pull out of a spot in a parking lot.
A runner up is "we can't let the passenger type a destination into the navigation system because the vehicle is moving"