Maggie's Farm

Apparently, you don't really know what you are talking about either. No, sociopaths and psychopaths are not the same thing, but you have them mixed up and backwards. Sociopaths are people who have very little guilt response to doing bad things and so they tend to do whatever they feel like doing at the time and will do whatever it is they need to to get it, often ignoring social norms. A more extreme example of this would be someone who kills somebody else because they want their ice cream cone. In contrast, psychopaths are people who have "thought disturbances", meaning their thought process is "off". An extremem example of this would be someone who hears voices telling him that aliens have emplanted chips in his stomach that make unicorns fly out of his butt while he is sleeping, but doesn't see anything odd about this belief. Anyways, so sociopathology and psychopathology are quite general terms that can encompass a lot of different behaviors and often times the behaviors can be very similar, what differentiates them is the person's thought process behind doing the action. As far as the test above goes, this woman could be either a sociopath or a psychopath depending on her reasoning behind the decision to kill her sister.
As far as a lot of your other statements go, good grief. Psychopaths are usually not dangerous let alone deadly. Some small percentage of persons with psychopathology have delusions or hallucinations that lead to them wanting to hurt or kill other people (they think they need to kill you to save the world from something or voices are telling them to kill you because you are going to attack them). This is not very common. Paranoia among psychopaths does tend to be quite common however. OCD and intelligence are completely separate issues from either psychopathology or sociopathology and tend to be completely coincidental when they occur together (however as narcisism and sociopathology often goes hand-in-hand, many sociopaths may believe that they are very intelligent).
As far as emotions go, sociopaths tend to have a very decreased response to emotional stimuli, with the exception that some things can often piss them off quite well. Psychopaths usually don't interpret emotional stimuli correctly (due to their messed up mental processing) and so often don't seem to respond to stimuli and usually don't understand other people's reactions to emotional stimuli. It is very common for persons with psychopathology to have what is called "flat affect" which means they just don't display emotions and don't respond to emotions. I often describe this as they look like they are pretending to be robots. Anyway, this is a quick overview, so there are lots of nuances to these things that I have not touched on here. If you want more information, go look it up ;-)