Wouldn't that make him a psychopath then not just a sociopath?

Yeah, psychopath is a more appropriate term.
Sociopathy and Psychopathy are very closely related, and sometimes used interchangeably.
Wikipedia highlights below.
"Psychopathy (/saɪˈkɒpəθi/) (or sociopathy /ˈsoʊsiəˌpæθi/) is traditionally defined as a personality disorder characterized by enduring antisocial behavior, diminished empathy and remorse, and disinhibited or bold behavior.
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It is one of the three dark triadic personality traits (the others being narcissism and Machiavellianism)."
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the Federal Bureau of Investigation reports that psychopathic behavior is consistent with traits common to some serial killers, including sensation seeking, a lack of remorse or guilt, impulsivity, the need for control, and predatory behavior.[22] Researchers, however, have noted that psychopathy is dissociable from and not synonymous with violence.[1]
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Researchers have discussed the possibility of psychopathy being associated with organised crime, economic crime and war crimes.[35] Terrorists are sometimes called psychopaths, and comparisons may be drawn with traits such as antisocial violence, a selfish world view that precludes the welfare of others, a lack of remorse or guilt, and blame externalization.
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http://en.wikipedia.org/wiki/Conduct_disorder )>
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Psychopaths have been considered notoriously amoral an absence of, indifference towards, or disregard for moral beliefs. There are few firm data on patterns of moral judgment, however. Studies of developmental level (sophistication) of moral reasoning found all possible results lower, higher or the same as non-psychopaths. Studies that compared judgments of personal moral transgressions versus judgments of breaking conventional rules or laws, found that psychopaths rated them as equally severe, whereas non-psychopaths rated the rule-breaking as less severe.
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Psychopathy has often been considered untreatable. Harris and Rice's Handbook of Psychopathy says that there is little evidence of a cure or effective treatment for psychopathy; no medications can instill empathy, and psychopaths who undergo traditional talk therapy might become more adept at manipulating others and more likely to commit crime.
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Psychopathy in the workplace is a serious issue as, although psychopaths typically represent only a small percentage of the staff, they are most common at higher levels of corporate organizations and their detrimental effects (for example, increased bullying, conflict, stress, staff turnover, absenteeism, reduction in productivity) often causes a ripple effect throughout an organization, setting the tone for an entire corporate culture.[129]
Academics refer to psychopaths in the workplace individually variously as workplace psychopaths, executive psychopaths, corporate psychopaths, business psychopaths, successful psychopaths, office psychopaths, white collar psychopaths, industrial psychopaths, organizational psychopaths or occupational psychopaths.
Hare reports that about 1 per cent of the general population meets the clinical criteria for psychopathy.[130] Hare further claims that the prevalence of corporate psychopaths is higher in the business world than in the general population. Figures of around 3-4% have been cited for more senior positions in business.[131] Unfortunately, even with this small percentage, corporate psychopaths can do enormous damage when they are positioned in senior management roles.[132]
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http://en.wikipedia.org/wiki/PsychopathyLock him away. He's irredeemable to society at large and should be permanently removed from the general population via incarceration.
I would prefer to hand Josh & Sonny over the Reavers and let them try to talk their way out of that situation.

"If [Reavers] take the ship, they'll rape us to death, eat our flesh, and sew our skins into their clothing and if we're very, very lucky, they'll do it in that order." -Zoe, Firefly
And... we come full circle... another Josh into the mix.