Your theory of morality is certainly complex and well-thought out, but I think is based on an assertion "persons have rights, which it is wrong to violate" that isn't established in any sort of traditionally realist way. Indeed, I think you agree with me that since absolutism theory is false, only those who prefer to recognize rights (or, alternatively, are caught in some regulatory scheme that enforces those rights) have a reason to recognize rights.

Alternatively, as Kaj mentioned, there are other systems of morality, like utilitarianism, that also capture a lot of what is meant by morality and there aren't any grounds to dismiss them as inferior. In an essay I wrote, "Too Many Moralities", I make the place I choose to carve reality around the word "morality" as to whether the “end” holds as its goal acting not with regard to only the self, but rather with regard to the direct or indirect benefit of others. If does, it counts as “morality”, and if it doesn’t, it does not. I don't personally yet see any reason why a particular theory deserves the special treatment of being singled out as the "one, true theory of morality".

I'd appreciate your thoughts on the matter because it could help me understand (and perhaps even sympathize with) the unitary perspective a lot more.