The day before Donald Trump declared that he would enact a “total and complete shutdown of Muslims entering the United States” should he become president, a poll was released finding that 58 percent of respondents felt Trump was hurting the Republican Party’s image, and half that his rhetoric was “insulting and offensive.” Just about one quarter of respondents felt he was helping the party’s reputation.

Trump’s attacks on immigrants, Syrian refugees, Muslims and other groups have fed the notion that Republicans are cruel and unwelcoming toward outsiders. It’s a notion that Republicans once sought to dispel.