I have consistently, over the course of my life, heard people describe sociopathy and related mental illnesses as being caused by a lack of empathy. This, intuitively, seems wrong, since that seems like a massively important brain function, that really ought to have a major and extremely visible effect on your thinking. Now, obviously it does have a serious impact (amoral behavior, etc), but it seems rather unlikely to me that someone like this really shouldn't be able to mask themselves as normal. (I'm also not sure why lack of empathy would make you want to dissect squirrels, but that seems like a side issue).
The upshot is that I'm seriously confused about what these mental disorders are, and how they work. Do these individuals have the ability to empathize but not sympathize? I'm not sure how that would work, but I'm not at all an expert on cognitive science. Is the standard explanation for these disorders just wrong? Are these people genuinely figuring out what humans care about by looking?
(As a side note, if it's the last one, has anyone considered getting a sociopath to work on FAI? Bringing someone who can't be trusted into an enterprise is a risky move, but if there genuinely are people in the world who have spent their entire lives practicing working out human emotions without feeling them...)
Psychopaths generally feel most emotions. What they may not experience, at least the way non-psychopaths do, is the emotion of fear and as a result have trouble recognizing facial expressions of fear in others, are bad at predicting behaviors that will scare people and have reduced amygdala activity during moral judgments. See the work of Abigail Marsh for one.
I doubt a sociopath would provide advantages over and above high functioning autistics.
Edit: Also, the whole ASPD thing is just a DSM clusterfuck. It in no way carves reality and the joints and definitely includes more than just psychopaths. But it does look like there are a group of people who do bad things and also have an empathy deficit. As you might imagine, it's a really difficult thing to study.
I suspect this may be true of most of the DSM. Here is a relevant article, excerpted by Bryan Caplan here.