I know from my daughter that they tried to prevent car drivers from playing Pokemon. In vain. You just have to confirm that you are a passenger, then you're allowed to play.
That's pretty well how Garmin GPS works. you have to OK a warning screen that advises you not to play with it while you are mobile. Once past the screen, you are free to play with it while mobile.
The satellite communications used in heavy vehicles often turn the screen off as soon as the parking brake is released. I suspect this is the way that phone manufacturers will go. Attempts to limit the apps available while driving would be open to abuse. I've already written a post attacking Apple Maps, from the point of view of a professional driver, and would not use it under any circumstances. However, if the OS could decide which apps were available while moving, Apple Maps would likely be the one, while Google Maps, a far better app, would be shut down. Of course, Google could petition Apple for their app to be whitelisted, but so could any number of other app developers. I'm pretty sure Apple would simply say "No"