I don't think handmaiden’s tale was a moral society. Hanging women on walls and raping them doesn't seem very moral. Oppression through purity propaganda more descriptive. A moral society wouldn't be oppressive and murderous.
It depends on how you define "moral", I guess. The people in power in that story believed themselves to be following the highest moral code of them all. You and I would of course disagree with their morals, but I think that's just evidence that "moral code" is an invented thing, and is something people agree on, not an absolute truth.
