Proponents of political liberalism standardly assume that the citizens of an ideal liberal society would be overwhelmingly reasonable. I argue that this assumption violates political liberalism's own constraints of realism—constraints that are necessary to frame the central problem that political liberalism aims to solve, that is, the problem of reasonable pluralism. To be consistent with these constraints, political liberalism must recognize that, as with reasonable pluralism, widespread support for unreasonable moral and political views is an inevitable feature of any liberal society. I call this the fact of unreasonable pluralism. This fact threatens Rawlsian political liberalism's account of stability because an overlapping consensus cannot stably order a society pervaded by unreasonable views. My argument also raises questions about the coherence of Rawls's conception of ideal theory.