I feel like "don't have police" is not feasible, in fact a complete non-starter outside of "nuclear family" sized units, unless we get into semantics.
In a large society, there are likely to be some basic, ideally mutually agreed rules (unless we are advocating for a true dystopian anarchy). There will likely be some way of monitoring and enforcing those rules - whether it be as basic as "don't shoot children in the face with a shotgun" or "don't defecate on other people's food" et cetera, or something more elaborate and granular. We can call that organization "police" or "friendly helpful neighbourhood helpers" or "Gnorf" or whatever; We can and should have meaningful discussion and change on what the mutually agreed upon rules are, how we enforce them, what the balances, checks, authority, etc are, scope and mandate, training and oversight, absolutely; but I do not believe "don't have police" as an absolute statement is a valid proposition with thought-through consequences, and I don't believe it's helpful to any side of the issue in moving forward to make life a better place.
That being said, maybe I'm wrong, and I'd be interested in what your elaborated proposal might look like?