Anti-refugee bias is strong in the US and Israel. But history shows this type of anti-refugee fear-mongering has very negative consequences – consequences you didn't learn from your rosh yeshiva or Rush Limbaugh.
The JTA has a brief article (based on Washington Post reporting which is itself based on the reporting of a great Twitter account, Historical Opinion @HistOpinion) on America's attitude toward Jewish refugees from just before Kristallnacht in 1938 through 1944:
…In a July 1938 poll, 67 percent of Americans told Fortune magazine that America should try to keep out altogether German, Austrian and other political refugees, and another 18 percent said America should allow them in but without increasing immigration quotas. In another 1938 poll, cited in the book “Jews in the Mind of America,”some 75 percent of respondents said they opposed increasing the number of German Jews allowed to resettle in the United States. [This second 1938 poll was taken after Kristallnacht.]
In January 1939, 61 percent of Americans told Gallup they opposed the settlement of 10,000 refugee children, “most of them Jewish,” in the United States.
In May that year, 12 percent of Americans said they would support a widespread campaign against Jews in the United States and another 8 percent said they would be sympathetic to one, according to the book “FDR and the Jews.” By June 1944, the number had risen to 43 percent of Americans who said they would support a campaign against the Jews or would be sympathetic to one. Polls cited in “Jews in the Mind of America” showed 24 percent of Americans believed Jews were “a menace to America.”
At the same time, however, 70 percent of Americans said in an April 1944 poll commissioned by the White House that they supported creating temporary safe haven camps in the United States where war refugees could stay until the war’s end. Only one such camp was set up, at Fort Ontario in Oswego, New York; 982 refugees were placed there in August 1944.…
Americans at the time feared German refugees would "steal" jobs from "real" Americans. Americans alos feared these primarily Jewish refugees would either be hidden nazi agents setting up sleeper cells in America or communist agitators.
You'll recognize this line of thinking from today's strong opposition, mostly by conservatives (and, oddly many Orthodox and haredi Jews), to the US accepting refugees from Syria and a similar anti-refugee bias in Israel against non-Jews fleeing Eritrea (the North Korea of Africa) and Sudan. (In fact, a very right-wing friend of mine uses this logic all the time to support his anti-refugee biases in both locations.)
In the case of Jewish refugees from Nazi-occupied Europe almost 80 years ago, those American biases against Jews and immigrants ended up contributing to the murders of tens of thousands of Jews. What those same anti-refugee biases will do today isn't yet clear, but the little information we do have seems to suggest many refugees will needlessly die as its result.