Leading Republicans, including Graham, have previously argued that a sitting president should not consider a Supreme Court choice in the run-up to an election.
Republican Senate candidate Lauren Witzke also dubbed her Democratic rival Chris Coons a "baby killer" on Sunday.
Refuse Facism's events are also being promoted as build up for daily protests in October against GOP's plans to replace Ruth Bader Ginsburg's Supreme Court seat.
Steve Hilton also pushed for Democratic nominee Joe Biden to reveal who he would nominate to the Supreme Court.
An article penned by the Senate Majority Leader argued in 2016 that it was too close to an election to choose a new justice.
The flood of donations comes as Democratic lawmakers prepare to counter Republicans' push to quickly nominate Ruth Bader Ginsburg's successor to the Supreme Court.
"I think it is particularly important that the Senate take it up and confirm this nomination before the election," the Texas Republican said.
"Their position is, 'Do whatever maximizes your power. If it's totally inconsistent with what you said before, don't worry about it,'" said Clinton, in reference to the Trump administration and Senate GOP, on Sunday.
Biden said Sunday that if he defeats President Donald Trump in the upcoming election, then Trump's Supreme Court justice nominee should be withdrawn.
"I did not support taking up a nomination eight months before the 2016 election to fill the vacancy created by the passing of Justice Scalia," the Republican senator from Alaska said.
The president's re-election campaign released a new merchandise item to its online store, as Republican and Democratic lawmakers debate an appropriate timeline to appoint Ruth Bader Ginsburg's Supreme Court replacement.
"You stated a pretty firm principle about Merrick Garland: 'It's wrong to deny voters a chance to way in,'" host Chris Wallace pointed out to the Republican senator from Arkansas.
Republican Congressman Doug Collins, a U.S. representative from Georgia currently campaigning for a Senate seat, defended his position regarding abortion access on Saturday.
"Preserving the institution of the Senate should be paramount to any political gain," Flake tweeted.
Protesters lined the streets in front of the senator's home in Louisville, Kentucky, after he vowed to call a vote for President Donald Trump's nominee following the death of Justice Ruth Bader Ginsburg.
Former U.S. Attorney General Eric Holder accused Republicans of "blatant hypocrisy" for moving to fill the Supreme Court vacancy created by Justice Ruth Bader Ginsburg's death so close to the presidential election.
The petition, created late Friday night, asks the U.S. Senate not to replace the late Supreme Court Justice Ruth Bader Ginsburg with under 50 days left to the election.
"Think of it, 29 times. Every single time, nobody said, 'Oh, let's not fill the seat.' We won the election," Trump said.
Speaking to reporters before his North Carolina rally, Trump named two judges to potentially replace the late Supreme Court Justice Ruth Bader Ginsburg—both of them women.
The tribute to Supreme Court Justice Ruth Bader Ginsburg, who died Friday, will be established in her native Brooklyn.
Slightly more than half of voters (51 percent) said they do not believe Trump should appoint a new Supreme Court justice before the presidential inauguration in January 2021.
The prospect of a Supreme Court fight adds another variable into an already tumultuous presidential election.
"I wish I could wave a magic wand and have it go back to the way it was," Ginsburg said in 2018.
Iowa Senator Joni Ernst sent out a fundraising campaign email detailing the Supreme Court vacancy shortly after the passing of Justice Ruth Bader Ginsburg was announced.
Christopher Scalia said that his father, the late Supreme Court Justice Antonin Scalia, put an emphasis on his friendship with his colleague Ruth Bader Ginsburg, even though the two differed on so many viewpoints.
After the death of Justice Ruth Bader Ginsburg, the Texas senator said the election cannot occur "with a 4-4 Court."
Following the death of Ruth Bader Ginsburg, the president confirmed Saturday he plans to work with Senate Majority Leader Mitch McConnell in immediately securing what will potentially be his third Supreme Court Justice nomination.
In a survey released hours before the news of Ginsburg's death, voters in Maine, North Carolina and Arizona said they preferred Biden to select the next Supreme Court justice by 12 percentage points.
The South Carolina senator once dared Americans to "use my words against me" during March 2016 remarks, in which he declared the next president—regardless of party—would not fill a Supreme Court vacancy during the final year of their first term.
Senate GOP leaders have not moved from a $650 billion measure that was thwarted by the Democrats.