Right‐wing movements across the globe call for system‐changing actions. This development contradicts the typically assumed resistance to change among the political right. Many of these movements use conspiracist rhetoric and, thus, we reasoned that conspiracy mentality might be associated with the striving for system change—especially on the political right. In four cross‐sectional studies in Germany (one nationally quota‐balanced, one preregistered; total N = 1539) we found that high conspiracy mentality was related to support for social change among the right and to support for reactionary social change among the left. Support for change among those high in conspiracy mentality was diminished when elected representatives (vs the population) were thought to drive social change. These results suggest that both right wingers and left wingers high in conspiracy mentality support change in ways that are seemingly incompatible with their political orientation.