In this paper, we used parallel ICA to identify components of EEG coherence that were correlated to components of fMRI bilateral NAcc seed-correlation maps, derived from 21 NSAC and 20 LTAA. Our major result was that parallel ICA identified a pair of EEG coherence and rs-fMRI seed-correlation map components that significantly separated NSAC from LTAA and were correlated with each other. These results suggest that rs-fMRI synchrony is reflected in spontaneous EEG, even when the EEG and rs-fMRI are not obtained simultaneously. We also showed that although these LTAA did not have a current ASPD diagnosis, psychological measures of antisocial disposition, impulsiveness, social deviance proneness, and lifetime ASPD symptoms were highly elevated in LTAA versus NSAC. In contrast to lifetime symptoms, current ASPD symptoms were similar to controls, suggesting that LTAA are able to inhibit their deviance-prone tendencies and reduce their ASPD symptoms, consistent with a top-down model supporting extended abstinence. In other words, long-term abstinence is associated with a dramatic reduction in general antisocial behavior despite a mostly unchanged antisocial disposition.