RE: 25-06 or 270 question
If you're really planning on hunting any of the animals you listed, then you'll need a bigger gun than either a 25-06 or 270. Those hunts are expensive and trying to hunt them on the cheap because you don't want a bigger rifle is crazy.
Use a 270 on moose...maybe but only if I had too. Personally I wouldn't consider going after the rest with anything less than a 338 Win Mag.