I see no reason why the psychopath cannot be egalitarian. Paradoxically, due to his supremely narcissistic ways, I believe he is less apt to succumb to the fallacies that many neurotypicals employ when determining who is worthy of unequal and society-enforced privilege over another. Lest the reader misunderstand me, I do not believe that the psychopath loses sleep over the inequalities of privilege given that he remains on top in his own way.
My reasoning is as such: given that the psychopath is intensely narcissistic, others tend to have no worth relative to the psychopath. Thus, all are equally worthless in the eyes of the psychopath except for insofar as they have worth to the psychopath directly. If all are equally without worth, then why would the psychopath care who has privilege over another? He is equal opportunity with his disdain. Therefore, there is no reason for the psychopath to devalue one group over another for they are all already devalued as far as possible. Thus, it may follow that the psychopath is egalitarian by default.