How does a terrorist attack affect party preferences? Based on existing theories, we would either expect incumbent parties to benefit because of a rally-effect, or populist radical right parties (PRRPs) to gain due to a radicalization of voters’ preferences. These competing theories are tested with a unique dataset of a large sample of voters’ responses on a Voting Advice Application. We do so using a novel way to leverage exogenous events using big public opinion data. We show that a terrorist attack has a positive effect for the main incumbent party, even when voters’ positions on the issues owned by the PRRPs become more radicalized. This means that during crises, voters rally around the flag and prefer prominence over policy proximity.