The Dual Process Model (DPM) of social attitudes and prejudice proposes that Social Dominance Orientation (SDO) and Right Wing Authoritarianism (RWA) reflect two distinct motivational processes. In two studies, we investigated how political involvement moderates the impact of social worldviews and value‐based dimensions on SDO and RWA. We proposed that political involvement constrains SDO, RWA and their antecedents into a tighter left–right ideological dimension, therefore transforming the double dissociation pattern of the DPM into a double additive pattern. As expected, for stronger political involvement, Study 1 (N = 237) showed that SDO and RWA were a function of both the competitive jungle and the dangerous world worldviews, whereas Study 2 (N = 143) pointed out that SDO and RWA were both connected with the value dimensions of self‐enhancement and conservation.