It's pretty disingenuous to be harping on texting, when it is but one of the issues that cause distraction.
Why not also ban:
. Reading while driving
. Eating while driving
. Putting on makeup (while driving)
. Fumbling with the CD player (while driving)
. Dealing with small children while driving
. Mooning
. Putting up with nagging spouses while driving (or any other time...)
Sure, texting while driving can be a problem, but it hardly is the only distraction. Each of the others cause accidents as well.