Regarding your statement about the guns used against animals being different than the ones used against people is just wrong. The AR-15 is about the perfect choice against wolves or wild boar, just as a single example.

As far as the waiting period, there's a perfectly valid reason against that as well... if you are under eminent threat of violence from someone and want to be able to defend yourself/family/home today... it stops you from being able to do so.

I am okay with the (relatively quick) background check... when I bought my first guns a few years ago, I had to wait about an hour in the store for the results to come back (Phoenix). Even then, I'm not okay with secondary offense restrictions (weed, etc) as a restriction.