Restrictive policies on dogs? Unless you're going to Ontario which has banned pitbulls there aren't many restrictions. Otherwise, a valid rabies certificate is all you need to cross the border. And you'll likely find campgrounds in Canada less concerned about specific breeds. In the north, it's pretty much assumed that you'll have a dog or two or three, or 40 - similar to the dog mushers. We always have our two with us and no issues.
We rarely travel with our firearms. If you're in a 45' motorhome you won't be in the wilderness too much, more likely in the more well-travelled routes where the wildlife usually isn't too much of an issue. Even when we're miles and miles into the bush, we haven't needed a firearm. Never been threatened other than by that one porcupine that got a bit too close for comfort. At our cabin, we often have bears strolling through the yard to the nearby creek -- they don't stop over at the cabin though because there's nothing here to attract them more than Mother Nature's menu.
Moose kill more people than bears, and you're more likely to have issues with the wildlife on the road in front of your motorhome than you are at night while you're sleeping.
People tow all sorts of things here, summer and winter. If you're doing so, plan to take your time on some of the rougher routes. Don't travel with a must-do schedule. Sometimes 100 miles can take 4 hours. Sit back and enjoy rather than try to make time.
There's much to see and do in the North. But if you're expecting the worst, then you will find it. If you're willing to adapt, go with the flow, laugh when times get tough/silly, then you'll be fine.