Just an aside - how often are you able to correctly diagnose ASPD and schizophrenia in the same patient? The criteria for ASPD state "the occurrence of antisocial behavior is not exclusively during the course of Schizophrenia or a Manic Episode." I would think if you succesfully treat the psychosis, then the patient will have been "restored to competence" (i.e. they can reason about their legal case in a non-psychotic fashion). Then it is time for them to face their charge, correct? Do you evaluate them for ASPD then? It seems to me it might be hard to do an unbiased ASPD evaluation for someone who has a pending legal charge. A lot depends on their plea, and the outcome of the case. (I.e. if someone's charged with murder, but pleads innocent, you shouldn't just slap on an ASPD diagnosis no matter how unremorseful, etc, they seem, until at least a jury has weighed in on it.) And it might be hard to evaluate past symptoms and behavior because you can't be sure if they were psychotic at times in the past where they engaged in antisocial-seeming behavior.
In any case a competency restoration unit is a quite specialized setting. Must be very interesting to work there.