Tench Coxe, writing in support of the Bill of Rights used the phrase "...words and every terrible implement of the soldier..."
Which could be meant to mean that halberds, spontoons, and the like are the "Arms" the people are meant to be allowed to carry without infringement.
Unfortunately we live in a time that exists after a century of rules, regulations, and laws that would prohibit just such a simple answer to the question.
Personally, I would not be bothered by the sight of a person bearing a spontoon or assagai, unless they were bent on skewering me with same. Sadly, I cannot speak to the sensibilities of others in other places.
Now, personally, the sight of someone with their thumbs on their digital device frightens me no end, as those people are likely to blunder into me bodily, both in person, and also while encased in 3000# of semi-guided automobile. Driving with both hands at "12" the better to text, being deeply troubling to me. In ways that carrying a Paul Hogan or John Rambo blade would not bother me in the slightest.