I think Wyrd makes an excellent point with his picture of DerpyHooves.
Personally I'm not worried. I own shotguns, rifles, crowbars, a 12 pound sledge, several tools, live 2,000 feet from an rural 1 runway airport, and have a giant construction shed 3,000 feet in the other direction.
My nearest neighbor is a half a mile away and between us there's open land (and a few trees). I am a mile and a half from one of NY's fingerlakes, and otherwise am completely surrounded by Farmland. The nearest ' town' has a population measured in the single digit thousands and I'm sure that everyone within 10 miles of me owns guns. I probably live in one of the safest zombieproof areas there is.