If you're bothered by societal attitudes regarding sociopaths (and not simply because it's effecting your success at personal gain), you're probably not a sociopath in the classic sense.
If you feel some kind of kinship with other sociopaths, you're probably not a sociopath.
There are other phenomenon related to empathy. For example it was recently discovered that some people lack conscious awareness of empathy. In these cases physiological and psychological responses to empathic emotions are clearly present (e.g. various stress responses), but the person doesn't consciously understand why the response is occurring (or even always that it's occurring) or its relation to a social interaction. Some people on the so-called autistic spectrum seem to suffer from this; their mirror neurons are present and functioning, they're just not plugged into everything correctly.
Some people lack episodic memories. They remember the birth of their child, for example, in the same way they remember that 10 * 10 == 100; as a fact, not as a lived experience imbued with an emotional dimension. Arguably this might imply that their experience of the world is more superficial than others, perhaps similar in some respects to a sociopath's experience of the world.
The role of sex in relationships is incredibly rich and complex. Arguably people who are asexual or otherwise less motivated or responsive to sexual passions might feel more disconnected emotionally in some respects than other people.
And just because you _think_ you wouldn't be emotionally stirred by events normatively considered "shocking" (like the injury of a small child, or especially your own child) doesn't mean you wouldn't actually be stirred in reality. We all consciously and unconsciously disassociate from the world, especially when technology intermediates. But you can't compare that to being physically present and involved. It's why it makes little sense to believe that, e.g., playing violent video games would strongly relate to a tendency to real-life violent behavior.