It's a fact that different people have different perceptions of morality, but that alone is not a sufficient argument to shut down any debate about ethics.
It is our duty as moral individuals to fight for what we think is morally right. And sometimes we will have to compromise.
But I'm tired of having to argue for why LGBT rights are important (something that I really would have hoped would be understood by now), since that is not the point. The point is that OP gave an example of a decision that "would spark an outrage" and I contended that that would be the case because it would be seen by the outraged as an immoral decision.
You can't take people's rights to be morally outraged away from them. You can, at the most, try to argue with those people why the supposedly immoral thing is not actually immoral, but I haven't seen anyone here doing that: only people defending the truism that "everyone has different moral standards". Which... yeah.
You just make a lot of claims, but you fail to back them up, so they are and remain nothing but that, baseless claims. It's basically just your opinion, which you are trying to wrap in the garment of 'morality'. So if you are moral realist and your morality is easily discarded, why should they care? If you are a moral anti-realist and still make moral value judgments, which are also easily discarded without consequences, why should they care?
So what exactly makes your morality absolute? Can you provide any evidence for it? Most people give hand wavy answers to this question, mumbling something along lines of intuition etc, which is not evidence, but as arbitrary and relative as some random choice of initial values for some random moral framework.