Does American political representation work as predicted by theory? On average, political candidates diverge considerably in their ideological positioning, but do they diverge less on issues of particular salience to their local constituents? We combine data on congressional roll call votes, electoral outcomes, district demographics, and substantive information about bills to search for convergence in the places we would most expect to find it. Despite the predictions of prominent models, legislators diverge just as much even when their constituents have strong interests in a particular policy area. These results provide new insights into policymaking and political representation, and they help distinguish between different theoretical explanations for why candidate positions diverge.