For example, we are here in this thread discussing whether war and nuking is moral or not. We agree on the facts - war exists, nukes exist, we even agree that U.S. nuked Hiroshima and Nagasaki - but we have diametrically opposed judgement of their moral dimensions. How come?
It's probably the large number of facts that you choose not to consider… But it also has much to do with your preference for absolutist systems. (Remember the advice: Keep things as simple as possible; but not simpler!)
BTW: Believing that the Urban Dictionary represents "normal English as the native speakers use it" is pretty silly! Whoever put such an idea in your head?[…] what to do about the definitional differences of morality, differences that are bound to have an effect on any and all understanding of moral dimensions, whatever the facts [?]
The presumption that there is any understanding possible, "whatever the facts" is bizarre… I reject it.
Likewise, that you presume the conservatives I cite often are of one mind about even basic principles is naive: People don't "work" that way…