Others, like Trump, are arguing that history should not be rewritten by removal of the statues, and note that some of country's Founding Fathers, including George Washington and Thomas Jefferson, owned slaves.
'Sad to see the history and culture of our great country being ripped apart with the removal of our handsome statues and monuments.
As a crisis deepened over Trump's response to violence last Saturday in the Virginia college town of Charlottesville arising from a white nationalist protest against the removal of a Confederate statue, the White House knocked down rumours that Trump economic adviser Gary Cohn might resign.
THE FACTS: The organizer of the rally, a local right-wing blogger and activist, has said he initially was spurred because of the city's decision to remove the statue.
"But I'm in favour of building more statues".
"Robert E Lee, Stonewall Jackson - who's next, Washington, Jefferson?"
"When those embedded embers flare up - and let's be honest, they still do, far too often - every elected leader, and indeed every American, has an obligation to stand up to bring people together around our core values and our belief that all people are created equal", the governor said.
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"You can't wash this one away by shaking my hand and saying 'I'm sorry, '" Bro said of the president.
"Just 27 percent said they should go", said NPR.
Momentum to remove the symbols of America's confederacy, which fought to retain slavery during the Civil War, has been building since 2015 when a lone gunman fatally shot nine black parishioners inside a SC church, hoping to incite a race war.
He was grilled by journalists over his handling of the Charlottesville white supremacist marches which left one woman dead and numerous others injured at the weekend. And you had people - and I'm not talking about the neo-Nazis and the white nationalists - because they should be condemned totally. "They totally misrepresent what I say about hate, bigotry etc. Shame!"
Trump's response to Charlottesville has deepened divisions within the Republican party.
Heather Heyer, 32, was killed in Charlottesville on Saturday when a suspected white nationalist drove his auto into a crowd protesting the far-right march. Earlier Thursday, Trump attacked two sitting Republican senators who have criticized his response to the Charlottesville attack - and whose support he needs to get his agenda through Congress.