Thanks for all the great replies. Didn't intend for it to turn into an 06 vs. 308 thread. I see some advantages for the 06 in different environments (longer action permits greater range of grains, some additional oomph, etc). But for the specific application of whitetail in the SE, I think it's difficult to argue against .308 as the total package.
I will also add that I don't think the weight is the primary advantage of short actions when it comes to brush hunting. It's the maneuverability coupled with the ability to chamber an additional round in a bolt action without taking your eye away from the scope.