This article gives an overview of 4 important lacunae in political liberalism and identifies, in a preliminary fashion, some trends in the literature that can come in for support in filling these blind spots, which prevent political liberalism from a correct assessment of the diverse nature of religious claims. Political liberalism operates with implicit assumptions about religious actors being either ‘liberal’ or ‘fundamentalist’ and ignores a third, in-between group, namely traditionalist religious actors and their claims. After having explained what makes traditionalist religious actors different from liberal and fundamentalist religious actors, the author develops 4 areas in which political liberalism should be pushed further theoretica...