I also see no reason why somebody -would- believe that. It's not just a matter of finding a possible set of beliefs, but a possible path by which someone could arrive at those beliefs.
I've read both common health care arguments and Yvain's post on drone warfare. While I haven't absorbed much information about drones, and don't have a strong opinion on them because of it, it doesn't seem strange that someone could find both arguments convincing.
As Multiheaded added, "Personal is Political" stuff like gender relations, etc also may belong here.