So far as I can see, there is little discussion of (and little concern for) mirror neurons differentiating sociopaths from empaths in the LW community.

There no good scientific evidence that you can distinguish sociopaths from empaths by their number of mirror neurons. Mirror neurons are overhyped: http://www.psychologytoday.com/blog/brain-myths/201212/mirror-neurons-the-most-hyped-concept-in-neuroscience That's the main reason you don't see much discussion on LW about them.

If I was uncharitable I would say that you just told a lie about mirror neurons to convince people of your political agenda. After all you seem to justify lying for the purposes of advancing certain politics. On the other hand I would guess that you honestly believe that statement.

The topic raises emotions in you and those prevent you from thinking clearly about it. You might think that's okay because your emotions are justified, but clear thinking is important when it comes to changing the world.

You see, both judge and prosecutor are commonly sociopaths.

That's a very strong statement. We do have personality tests that measure whether a person is a sociopath. Do you really think that if we administer those tests to judges and prosecutors we will find that more than half will score as sociopaths? If that's really what you believe than if I would be you I would try to get a study together that gathers that evidence. It probably the kind of topic that the mainstream media would happily write about.