NO! You wouldn't want your starting QB to do a lot of running because eventually he will get hurt and then your team is SOL.
That's why you see a lot of teams take an existing running QB and try to convert them into a pocket passer. You only want your QB to avoid on coming rushers for the most part and once in a while to get you that important first down.
A running QB is a CONCUSSION waiting to happen.
[ Edited by Kauaiguy on Dec 21, 2012 at 10:53 AM ]