“We respect the office of the presidency and believe it is more effective to address questions and concerns directly with the White House,” Rabbi Dratch said in an email.

Mr. Trump is an unpopular figure with most American Jews, but has retained a well of support among the most religiously observant denominations, in large part because of his views on Israel and Iran. Mr. Trump drew about a quarter of the Jewish vote in 2016, on par with most recent Republican presidential candidates but below Mitt Romney’s performance in 2012, when he captured 30 percent of Jewish voters.

The president’s daughter Ivanka is a convert to Judaism; she and her husband, Jared Kushner, have helped the White House mark Jewish holidays with statements and social media posts.

Mr. Trump has given no indication that he intends to walk back his remarks or apologize for them: After an initial statement on Charlottesville in which he faulted “many sides” for the violence, Mr. Trump gave a more tempered statement denouncing racism and anti-Semitism last week — only to follow up by reiterating his initial, hedged assessment of events at a news conference in New York City.

In that Manhattan event, Mr. Trump again drew an apparent moral equivalency between neo-Nazi marchers and anti-racist protesters, declaring that there were “fine people” on both sides, and this week he blamed the news media instead for stoking racial divisions.

Mr. Trump’s approach has alarmed leaders from minority groups and experts on political extremism, who have tracked a rise in hate incidents this year. In April, the Anti-Defamation League’s annual audit showed that anti-Semitic incidents increased by more than one-third in 2016 and jumped 86 percent in the first quarter of 2017 compared with the same period last year.

That rise was most likely “driven by a relatively small but emboldened cadre of neo-Nazis and white supremacists,” said Brian Levin, director of the Center for the Study of Hate and Extremism at California State University, San Bernardino. He said that Mr. Trump’s rhetoric risked aggravating those groups.