I've lived in places where anyone could be assumed to be armed, that all householders had firearms. I've lived in places where no one had firearms, except criminals.
The former had zero mutual fear, the latter had fear, but only on the side of the unarmed citizens.
Nothing says 'fear' like bars on the windows and bullet-proof glass in front of the counter at KFC, food served by turnstile.
firstly the anthropology is terribly negative and the conclusion are that without government we would leave in a violent state of nature. It's not that clear that without government the situation would be so violent and moreover, from scientific point of view, it's also not that clear that there was such a state of nature: homo sapiens could well have been really civilized when he became home sapiens.
Secondly Hobbes never concludes that we should be armed or anything like that. No. He concludes that we need a powerful state and that to build this state we need to give up some of our rights. We give some rights and the state acquire the obligation to protect us. If you think about it it goes totally against the American vision: Hobbes would probably agree that the citizen should give up their rights to be armed, to throw out the state of nature, and in return the state would protect them. This seems really hobbesian, not the reverse.
Are also all communities based on mutual fear? And how much the concept of community is part of the concept of society?
I've heard it say that in Miami the criminals concentrate on tourists because locals might be carrying. But despite some of the most pro-gun laws, Florida is not exactly known as a low crime rate state.
And paradoxically, many states with strong laws against guns have lower crime rates that many strongly pro-gun states.
I'm pro concealed carry myself, but do not think the real world evidence supports a connection between that and lower crime rates. Perhaps if some place has a sudden radical change in gun policy some data can be extrapolated?
Similarly, it's not like in violent hell holes around the word almost everybody isn't carrying and still getting robbed and killed.