Along the campaign trail, Donald J. Trump likes to pick out the people who, despite his having insulted their ethnic group, support him in the race for the Republican presidential nomination. They love him, they really do.

And with Mr. Trump leading in the polls for New York’s presidential primary on April 19, some small groups of immigrants have come forward to support him. Never mind that he has said Mexicans are rapists and drug dealers, suggested a temporary ban on Muslims entering the United States and called for the deportation of the more than 11 million undocumented immigrants in the country.

These immigrants are supporting him for reasons that are intensely personal and, not surprisingly, are often aligned with their politics back home.

A recent informal poll conducted by a Russian-language radio station in New York City showed that more than 80 percent of 5,000 callers preferred Mr. Trump, the Republican front-runner, to Hillary Clinton, the Democratic Party’s likely nominee. A group of Latino Republicans in Rockland County is planning to endorse him, and some older Indian-American professionals and young Hindus in the region already have.