Some arguments: I don't know what it means for a moral facts to exist independently of one's attitudes or dispositions. Perhaps one wishes to say that it's embedded in the fabric of society. But that would make it intersubjective, not objective. If it is the case that two people can radically differ in terms of their moral intuitions, then it's eminently plausible to me that "morality" means different things to different speakers, so when a theist says that God's ways are always morally good, and an atheist says that God is evil for the same reasons that the Theist wants to argue that he is good, then it seems to me that the word "morality" does not pick out anything specific. They just aren't talking about the same thing, at all. Morality seems to be grounded in psychology, not in eternal and immutable truths that have been divinely revealed.