"The reason I think Donald Trump's comments are irresponsible is because it doen't fix anything", said fellow Republican candidate Carly Fiorina.
Trump's outrageous demand has been roundly condemned by almost all presidential candidates, both Republican and Democrat, as well as the White House.
Suzanne Kelly, who originally lodged the document, said it was "one of many little acts of defiance" against Mr Trump.
"He said, 'We have a meeting, ' and he looks forward to the meeting and all of that".
By contrast, 24 percent say that Trump's manner and language might be problematic, but think he's raising important issues.
His proposal was met with criticism from around the world, including from Israeli Prime Minister Benjamin Netanyahu.
On Sunday, Trump, the front-runner Republican candidate, called for a "total and complete shutdown" of Muslims coming into the United States.
Saudi, Emirati officers killed in fighting in Yemen
The United Arab Emirates has confirmed the death of an Emirati serviceman fighting in Yemen as part of the Saudi-led coalition. A seven-day renewable cease-fire was scheduled to have come into effect on Monday to coincide with the talks.
The petition to ban Donald Trump from the United Kingdom has become the most popular on the Government's website with nearly 500,000 people signing up online.
There were serious concerns a visit from Trump would further inflame tensions - among Palestinians, the vast majority of whom are Muslim, as well as the million plus Muslims who live in Israel.
She said that she could laugh at Trump's insults directed to her, but she can't laugh at what he's saying about Muslims.
Speaking on Fox News, Trump explained, "I didn't want to put him (Netanyahu) under pressure", while recalling he had done a campaign ad for the Israeli leader.
He launched a scathing attack on ISIS but defended Muslims over Trump's remarks.
"For some time, I have been saying that Muslim immigration into the United States should be stopped until we can properly vet them or until the war with Islam is over", Graham wrote on on Wednesday.
In a statement, the three-time heavyweight boxing world champion said: "I am a Muslim and there is nothing Islamic about killing innocent people in Paris, San Bernardino, or anywhere else in the world".
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