https://www.reddit.com/r/Anarchism/comments/jp3q4p/comment/gbesw1p/
About preventing crime, the short version is that it starts in the home.
Much violent crime can be traced back to cultural factors. Violent crime, such as murder, would probably decrease dramatically in an anarchist society because most of its causes — poverty, televised glorification of violence, prisons and police, warfare, sexism, and the normalization of individualistic and anti-social behaviors — would disappear or decrease.
The differences between two Zapotec communities illustrates that peace is a choice. The Zapotec are a sedentary agrarian indigenous nation living on land that is now claimed by the state of Mexico. One Zapotec community, La Paz, has a yearly homicide rate of 3.4/100,000. A neighboring Zapotec community has the much higher homicide rate of 18.1/100,000. What social attributes go along with the more peaceful way of life? Unlike their more violent neighbors, the La Paz Zapotec do not beat children; accordingly, children see less violence and use less violence in their play. Similarly, wife-beating is rare and not considered acceptable; women are considered equal to men, and enjoy an autonomous economic activity that is important to the life of the community so they are not dependent on men. Regarding child-rearing, the implications of this particular comparison are corroborated by at least one cross-cultural study on socialization, which found that warm, affectionate socialization techniques correlate with low levels of conflict in society.
https://theanarchistlibrary.org/library/peter-gelderloos-anarchy-works#toc42
As for the re-emergence of hierarchies, I think that the notion of anarchism is essentially 'checks and balances' turned up to 11. You get to a society that's an ecosystem of fluid social relationships, and an anti-authoritarian culture which makes it impossible in a million ways for anyone to accumulate power. If we could get there, I think it would be more robust than current liberal democracy, where the branches of government can cooperate and you need buy-in from less people to enable power to be accumulated.
IMO, good anarchist praxis is to 1) encourage and popularize anti-authoritarian parenting methods and 2) build strong community groups and mutual aid networks.
In the now, I believe in Mutualism and Solidarity Economies as a means for preserving liberty and keeping one another safe.