If you're shooting at targets at 1000 yds, a .300 WM makes sense, or if you're seriously going to shoot elk or moose at long range. I, and the good hunters I know, don't take shots at a longer distance than we can be assured of a clean killing hit. That distance for me is about 300-350 yds...and a .30-06 or .308 Win is plenty for that if you do your job well. I do a lot of shooting with .30-06s and .308 Wins...and a .30-06 with the right bullets is still supersonic at 1000 yds (a distance I've never shot). Out to 600 yds (a distance I have shot with iron sights in matches), either a .30-06 or a .308 Win is predictable, accurate and comfortable.
Now, if you want to pretend you're a sniper taking 1/2 to 1 mile shots, I'd go to a .338 Lapua Mag...that you're not going to enjoy because of the pounding it will deliver to you. However, remember that Carlos Hathcock got 93 kills in VietNam...with a .30-06.
There is an old adage: it's not the size of the dog in the fight, it's the size of the fight in the dog...that's true in shooting as well. I shot an M-14 in the USAF although I was never trained as nor was a sniper, I do know that both sniping and hunting are about fieldcraft and stalking skills more than pure shooting skills.
FH