To the OP:
Not Alaska ... but ...
It depends much on the rifle I'm carrying. If I'm hunting with a single shot muzzleloader or a centerfire rifle smaller than .270 or 7mm-08, then yes, I carry a handgun, too. This is usually applicable to varmint hunting and use of small calibers for deer. By the time I grab an elk rifle (or in your case, moose), there's no real reason to pack a handgun, too. For "finishing" a critter, an extra rifle cartridge or two is a lot easier to carry than a handgun.
If I'm hunting from a car camp, I'll often bring a large caliber handgun for carry in camp so I have both hands free for gathering firewood or cooking without being entirely unarmed. Lock it in the rig while I'm hunting.
Tom