I know we are using psychopath & sociopath interchangeably and that isn't necessarily incorrect but I think in this case we should distinguish between the two:
I think this website has a good break down between the two terms
http://depressiond.com/sociopath-vs-...ity-disorders/
I definitely think Urobuchi is trying to say these character are psychopaths not just sociopaths (hence the title) and this includes Makishima.
I don't believe Makishima has empathy or shows concern about anyone. Although he might show interest that isn't the same as empathy.
Makishima also has the classic trait of being able to charm and to act normal in society, and to act in complete control.
Also the fact that you might be unable to hurt those you care about would make a sociopath (unlike a psychopath) not work for the system.