Rights. The reappraising side speaks the language of "Justice" and "Civil Rights."
First "Civil Rights" and then Justice.
Before God, we have no rights. There are no civil rights in the Church - or there should not be. Currently, I am teaching a class on C. S. Lewis' book "The Great Divorce." In Chapter 4, Lewis hears the conversation between "The Big Man" and the saint sent to him (who murdered a mutual acquaintance). "The Big Man" says that he wants his "rights" and refuses to ask for "bleeding charity." The saint responds that only by asking for "the bleeding charity" can anything be given in Heaven. Only by not insisting on one's "rights" will we ever get anywhere. None of us want our rights - for by getting what we deserve, we will all end up in hell and alone.
As for justice, the reappraisers talk as if Justice and Righteousness can be disconnected, but that is a false dichotomy. You cannot be just and, at the same time, be unrighteous. I have been told by several men who know that the word "Justified" in Greek is a passive verb form of "righteous." The two are the same. You cannot be unjust and righteous. Righteousness is a right relationship with God.
The question on sexuality all comes down to what is sinful behavior and how do we determine sinful behavior. The Church has always taught that there are certain behaviors that are always wrong - theft, murder, adultery, fornication, idolatry, greed, lust, covetousness, etc. Homosexual sex has always been in that list of behaviors proscribed all the time - it has been an unrighteous behavior that (like all persistent sins) leads to a breach in our relationship with God and with the Church and leads to darkness of ourselves and our understanding of everything.
Now, a small part of The Church, catholic ( or universal) wants to change that. How do we go about changing it? What tools do we use? What is there for precident on making a change? It seems to me that the reappraisers want to simply declare that it has been changed and that we were wrong without persuading the rest of the Church (let alone the Anglican Communion) that their method for changing the moral teaching is acceptable.