Fifty-one percent disapprove of the presumptive Republican presidential nominee's response to the massacre, while just a quarter of Americans, 25 percent, approve, according to the CBS News survey released Wednesday.

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The CBS poll also found that Americans largely oppose one of Trump's signature campaign proposals to temporarily ban Muslims from entering the United States.

More than 6 in 10 Americans, 62 percent, think the U.S. should not temporarily ban Muslims from entering the country, while 31 percent said the U.S. should.

The proposal continues to see support from a majority of Republicans, 56 percent, though heading into the general election, 79 percent of Democrats and 62 percent of independents oppose it.

Clinton's own response has left Americans divided, with slightly more approving than not approving of her response, 36 to 34 percent, with fully 30 percent saying they didn't know about her response.

Clinton called for the U.S. to redouble its anti-terrorism efforts while also renewing a call for gun control following the shooting.

A majority of Americans surveyed consider the attack on the gay nightclub by a man claiming allegiance to Islamic militants to be both terrorism and a hate crime. A quarter of respondents, 25 percent, consider it to be mostly a hate crime, while 14 percent say it's mostly terrorism.

Meanwhile, more Americans than not approve of President Obama's response to the shooting, 44 to 34 percent, while nearly a quarter didn't report an opinion.

Obama and Trump feuded on Tuesday, with the president lacing the GOP nominee for suggesting he was sympathetic to terrorism, while Trump doubled down on his criticism.

The survey of 1,001 U.S. adults was conducted June 13–14 via landlines and cellphones, with an overall margin of error of 4 percentage points.