In both MN and WI, an individual cannot carry a rifle and a shotgun loaded with birdshot or buckshot while hunting either small game or big game. You are either hunting one or the other. (It says nothing about taking small game with a deer rifle during deer season, oddly enough.) One can, however, when the seasons are concurrent, hunt with another individual who has the other type of weapon. It is legal to carry a shotgun with slugs as well as a muzzleloader with single projectile in both MN and WI while deer/bear hunting.
You also cannot carry birdshot or buckshot while big game hunting with a shotgun, nor slugs when small game/waterfowl hunting. Turkey are considered big game, but have their own shot size restrictions. Not sure on the CCW thing in MN, used to be you couldn't carry a pistol for Archery; WI it still is. MN has pistol caliber restrictions, but no barrel length restrictions. WI requires the barrel to be 5.5" or longer, but can be of any centerfire caliber. And the laws get weirder and more restrictive the further east you go.