A class of weird fish that's particularly thematized in After Virtue is the craft, the community of practice, the productive Tradition. Here is where a person first encounters the virtues, and MacIntyre gives a preliminary first definition of Virtue as being a quality that allows me to excel internally within a tradition.
So if I have a passion for woodworking, and I enter into some kind of social tradition of woodworking, then within this part of my life I come to value sturdy and elegant joinery. This doesn't require a unified self. My woodworking passion can be a nexus of Agency or a subagent with its own values and Virtues.