Considering that I have never had to deal with threats to my life from another person but have with the wild critters it seems unlikely that I would be more threatened by people than the critters. With wild critters something as simple as a warning shot will usually send them off in most cases where as if it comes to needing a firearm with a person the first shot had better be center of mass instead of the waring shot because you just escalated the situation at that point. For example the cougar went running back from whence it came when I shot the ground near by but the wolves were a bit different as the one that I could see ran off but I could hear the rest of the pack just off the road most of the way back to camp as they were stalking me. Add in that if you have a mother bear and cubs and if you get between them it doesn't usually end well for you.
In general there are more problem people but that seems to be more of a function population size since there are probably more people in the US than there are wolves, cougars, and black bears combined. Also given that I don't live in a shit hole crime ridden city with drug and gang problems I probably have a better chance of winning the lottery than being the victim of gun violence.