If you want to eliminate distractions, make handheld cellphones inoperable while moving.
Great. So what happens when there is an emergency while I'm driving? I'll have to Physically stop the car and turn it off in order to call Emergency services? "No, honey, I know your giving birth, but I have to turn the car off in order to arrange for an Ambulance to meet us." bad example, but it makes you think about the kinds of situation where this could potentially be dangerous. I'm sorry, that is a fucking terrible idea on every single layer. The only way that would ever happen is through laws, and we all know that what you just mentioned would cause far more problems than it solved. If you can even say it solved everything.
It is easier to write an incorrect program than understand a correct one.