Personally, around the time the whole Unqualified Reservations / NRx thing was starting up, I considered myself a libertarian with more rightist sympathies. Reading UR and its classification of left versus right is actually what pushed me back into seeing that my philosophy is more aligned with the left. Axiomatic framing and fundamentalism simply doesn't work (cf Gödel). Systems need to be judged on their effective results regardless of their implementations' terminology.
Doesn't that still require your definition of coercion to prevent my neighbor from using it for what he wants? Or to prevent a new party moving in and setting up their own shelter there?
To me, the right libertarian conception of property rights is not the problem per se. It's when that is taken as an axiomatic framework and claimed to justify all the emergent behavior that happens on top of it.