The rigidity-of-the-right hypothesis (RRH), which posits that cognitive, motivational, and ideological rigidity resonate with political conservatism, is the dominant psychological account of political ideology. Here, we conduct an extensive review of the RRH, using multilevel meta-analysis to examine relations between varieties of rigidity and ideology alongside a bevy of potential moderators (s = 329, k = 708, N = 187,612). Associations between conservatism and rigidity were enormously heterogeneous, such that broad theoretical accounts of left-right asymmetries in rigidity have masked complex—yet conceptually fertile—patterns of relations. Most notably, correlations between economic conservatism and rigidity constructs were almost uniformly not significant, whereas social conservatism and rigidity were significantly positively correlated. Further, leftists and rightists exhibited modestly asymmetrical motivations yet closely symmetrical thinking styles and cognitive architecture. Dogmatism was a special case, with rightists being clearly more dogmatic. Complicating this picture, moderator analyses revealed that the RRH may not generalize to key environmental/psychometric modalities. Thus, our work represents a crucial launch point for advancing a more accurate—but admittedly more nuanced—model of political social cognition. We resolve that drilling into this complexity, thereby moving away from the question of if conservatives are essentially rigid, will amplify the explanatory power of political psychology.