Yeah, they're heavy, but they're both incredibly accurate, pick your poison for .308 or .30-06, Springfield M1 Garand in .30-06 or Springfield M-1A in .308. I've used both in the past for deer, both are quite mild on recoil, and both are incredibly accurate, not to mention both offer a lot of flair for historical value.

That said, you'll never notice the difference between a .30-08 or .308. Yeah, the ballistic charts show better performance for heavier bullets with the longer case (.30-06), but who really loads 220gr slugs in a .30-06? Anyone that regularly hunts anything big enough to need a 220gr pill from the .30-06 would know enough to just buy a heavier cartridge.

Plus, there's no animal on the north american continent that will argue with a properly placed 180grn pill from either of them. For deer species, you'll never notice the difference in performance at the business end. The short action .308 is a little milder on the shoulder, but neither are killers. My girlfriend uses a .30-06 for deer and a .308 heavy barrel for coyotes and benchrest target shooting, she doesn't have any problems taming the recoil of either.