Your choice of how the United States saved Jews from the Nazi holocaust by allowing them to immigrate is a poor example:
Beginning in 1940, the United States further restricted immigration by ordering US consuls to delay visa approvals on national security grounds. After the United States entered the World War II in December 1941, the trickle of immigration virtually dried up, just as the Nazi regime began systematically to murder the Jews of Europe. Despite many obstacles, however, more than 200,000 Jews found refuge in the United States from 1933 to 1945, most of them before the end of 1941.
But, yes, we have a massive statue. The words on it may have to be updated though: "Give us your tired, your poor, your low-wage workers."