Constitutional courts have increasingly spread across the globe as a feature of democratic rule in many countries. While designed to protect citizens' rights against governments' actions, their decisions are inherently countermajoritarian. When the rule of law and the rule of the majority collide, which principle matters more to citizens? To study this question, we implement survey experiments on nationally representative samples in France, Germany, Poland, and the US. Holding policy decisions constant, we vary the involvement of the lower chamber, the higher chamber, and the constitutional court in the decision-making process and study how the satisfaction of citizens with the democratic process, and the reached policy decision, varies as a function of said involvement. We find that citizens put different emphasis on the rule of law vs. the rule of the majority in the different countries.