Asklemmy

When someone who owns the path to your house decides they won't let you use that path anymore. Or when the guy who owns the water works doesn't like you and decides that your house won't get any water any more?

This would be public property. No private ownership.

Or even more simple: what if you and your neighbour have a conflict that escalates further and further? Should you just duel? Or maybe shoot the neighbour in their sleep before they do it with you?

So this is how I understand it. Achieving the communist utopia in its purest form would be impossible. However, the goal should be to go as close to it as possible. In your scenario, your neighbor would just be "nice", thus stopping any escalation of your conflict. Again, as it's impossible for this to happen completely, we would still require the presence of SOME coercive entity. However, the scale of this entity would reduce over time, as people would tend to be less asshole-ey over time (consider how wars have reduced over time).

And lastly: To get to this state, you need to coerce the current coercive institutions out of said power. Is that not being coercive yourself?

It is. However, this isn't necessarily contradictory. Say you have an institution with 121 coercion points. You thus overthrow this institution, thus becoming worth say 70 coercion points. After the overthrowing is complete, you dissolve your own institution that did the coercion on the other coercive institution. Thus, 0 coercion achieved.

Another way to explain this: The Nazis started a war. The goal was to end this war. However, to end this war, the allies entered the war, thus expanding its scale. In the end however, the war ended.