Some people with borderline personality disorder have a hyperactive amygdala - this means they're hyper aware of perceived risk and what people think about them, and what they think about themselves.
BPD has a high correlation with various eating disorders and with attachment problems.
Sometimes people with BPD can be involved in horrific deliberate self mutilation, but without wanting to die at that point.
It seems like the opposite of psychopathy would be a mix of insecurity, guilt, social anxiety, and intrusive, excessive, uncontrollable empathy. Imagine that every time an ambulance went by with its lights and siren on, you were overwhelmed with fear and sadness for whoever was hurt, while at the same time feeling guilty for no reason, and being afraid that whatever happened to the poor person in the ambulance, you would be blamed for it.
I think that is generally referred to as self-consciousness, and it can be very extreme (to the point of paranoia and anxiety attacks) or more tame, as in the stereotype of the average teenager.
I'm an anti-psychopath, and most people wouldn't consider me empathetic, because I have such a moral extremism about me.
Actually, I think of psychopaths as lawful evil, so the opposite is chaotic good. Chaotic good tend to have strong empathy but a sort of moral extremism/pathological honesty that can override it. In fact, they're willing to be disliked if they believe they're doing good for others or the world.
The chaotic-good anti-psychopath is the anti-authoritarian who insists on Living in Truth (Vaclav Havel's concept) whereas psychopaths revel in manipulation and lies.
