Argument from Conscience

[Kingpin]

I say that if the conscience has no moral authority that presents a serious problem for anyone trying to defend their right to make any kind of moral judgement.

Chad, Yes!  That is exactly the point!  If there is no transcendent point of moral authority, then morals are completely relative then there is no "evil" and everyone loses their right to pass judgment on anything.  They may have an opinion, but that cannot logically condemn it without assuming moral superiority.