Yes, I am familiar with the idea of dis-unified self.
I thought about it some. First it seemed that this could explain the occurrence of moral dilemmas, but not solve them, as in helping a person select the "right" answer. But can a theory really be applied to provide the answer in something like this?
Now I am thinking that understanding this will provide a person with better background knowledge to make an informed choice. It seems to me it comes down to conflicting loyalties, as you said earlier, and understanding this could certainly help someone organize their thoughts.