>>As far as most people are concerned, the premise that all violence is absolutely unnecessary is not a widely held position.
This is a straw man that, quite frankly, I'm left scratching my head as to where you got it from. People commit violence when they can get something they want by doing so, and won't face repercussions for the violent act. The places around the world that are widely considered the most violent countries are those that have strong (sometimes authoritarian) central governments, and few rights individuals can exercise to protect themselves on a local level. Examples - China, Russia, Brazil, the Middle East.
The reason this is the case is because the vast majority of citizens in these locations are law-abiding citizens, meaning they won't break the law to own a gun to protect themselves, or take other measures necessary to ensure their own protection, other than depending on the government (either local or national). Then, what happens is government law enforcement fails, because we're human and we all make mistakes - national law enforcement may not be present, local law enforcement may be corrupt or incompetent, or hundreds of other reasons failure could take place. When the law enforcement fails though, regardless of the reason, those law abiding citizens who don't have any means of protecting themselves are now vulnerable to pretty much anyone.
I hope you realize, and can think deeply enough, to understand that the problem of violence is not one that has a binary solution to be solved only via monopoly powers of government. There are literally thousands of creative ideas that can be tried to combat violence...before resorting to coercion by the State. If you read the other posts here, you would understand how those ideas could be explored, and also why they have pretty much died out.
No libertarian or anarcho-liberterian lives in a fantasy world where they think they can just 'wish away' violence. They just understand the answer to violence is not as simple as a vote for 'yes' or 'no' on a ballot box. If that's the world you wish to live, then great. If not, I suggest you open your mind a bit, expand your thinking, and at least consider what the other side has to say.