He's not a psychopath; he's psychotic. Those are very, very different.

Psychopathy and sociopathy are functionally identical; they're personality disorders where a person largely lacks the capacity for empathy, and hence remorse. Being psychotic means that you're experiencing delusions; you may be hearing voices, or having uncontrollable impulses to do things that would be out of character. His behavior, based on what he's saying, is entirely delusional; he doesn't even have internally consistent logic in his actions.