Anarchists provide one essential reminder: governments are capable of extreme evil. Government atrocities are on a scale that individuals would never be able to reach. If someone is achingly concerned with tearing down a statue or looting a store, they might not be an anarchist.
Anarcho-Capitalists in the grain of Murray Rothbard are motivated by the belief that properly regulated Constitutional government with a respect of individual liberty is gone and it is not coming back. The only answer is to start over because the oppressors (i.e. elites) are using the current system for their own gain. The bad actors use the current system to justify their tyranny and use authority as leverage for themselves to maintain power. Therefore, destroying the current government is the only way for individual liberty to flourish again.
Capitalism is an ordering system that allows individuals to live peacefully while trading necessary goods that advance life.
Individuals have a mutually beneficial desire to not hurt each other when trading goods and services that both sides value. In short, I’m not hurting my supplier.
No one wants to be hurt so you have a selfish reason to live peacefully. It’s the basic principle of treating others how you want to be treated. They might be nice because of common decency or due to fear of reprisal. Either way society maintains order and respect in anarchy.
Communities are routinely made up of individuals being polite to each other without force. When governments and third parties are not forcing people together, people agree to live together or they leave.
Michael Malice makes the astute observation that—for most Americans—grade school is the only place that you will witness physical abuse. Government schooling forces children together whether they like it or not. And thus, creates conflict or, at least, incubates an environment where violence can flourish.
Government is not violent all the time. It realistically cannot harass everyone with guns all the time. Nor is it always due to nefarious intentions that things go bad. For example, schools are not a completely bad idea and they are not meant to be harmful. The government is just incompetent in managing it.
H.L. Mencken was amused at the masses who were unwittingly used and abused by the ruling class and he wrote beautiful mounds of words about it. He is notorious for being disgusted by the mob and especially mob rule. Which, democracy represents the lunacy perfectly.
Of course, those who are sick of tyrannical authority can check out of society and refuse to abide by conformity like Henry David Thoreau. He lived in rural Massachusetts and made astute observations of ants. In one of his rare dealings with governmental authority, he refused to pay a tax on the grounds that he believed the government was unjust for allowing slavery. They threw him in jail and he describes laws this way:
In Rothbard’s opinion, it is up to us to awaken the masses out of their obedient slumber. It’ll take a popular movement to excite the people into throwing off the elite’s shackles. It would be a meeting of populism, anarchy, and capitalism, if you will.
Sex Pistols infamously said, “don’t know what I want, but I know how to get it” in the song Anarchy in the UK. Maybe anarchists do know what they want, they just don’t know how to get it. Anarchy is not AntiFa and those who took over blocks of a major US city and turned it into a police-state shockingly quick. Anarchy is order without oppression.