As everyone knows I carry a Handi 30-06 90% of the time. I've got over 50 rifles to choose from, with six of them be 30-06s. I'm in the woods almost everyday, and live in Grizzly country. With the 30-06 you can hunt anything in North America, plus it is the standard everything else is judged by.
OK it's a little harder in the recoil department, but can your 7mm08 hit and kill a Wolf size target (Whitetail) at 500 yards consistently. With a little practice the 30-06 can and will.