The flier contained a mock-up of a flier for a faux event featuring Sen. Josh Hawley (R-MO) and Texas Attorney General Ken Paxton discussing "violent insurrection."
Gideon Sa'ar had solicited the help of the four men separately from their work with the anti-Trump group, whose co-founder John Weaver is accused of sexual harassment.
Recent questions about the its finances and allegations against co-founder John Weaver have tarnished the PAC.
This isn't the first time that The Lincoln Project has publicly reached out to a politician to work with their group.
Steve Schmidt tweeted Saturday they could work together to defeat autocracy, despite their differences, in a fight that "will last for many years."
"The American people have rendered their verdict and they threw Donald Trump out on his ass," Steve Schmidt said. "We ought to stop saying that 'if there is evidence,' there is no evidence [of voter fraud]!"
"He's got a lot of competition in that space," Steve Schmidt said.
"This is a historic moment. This is the biggest moment that's occurred in this generation. And the government has shown itself completely outmatched by this crisis."
"There will never, ever have been an American president with the power that Donald Trump possesses right now in this moment," Steve Schmidt argued.
"She does seem to have a tremendous talent for self-righteousness and hypocrisy," Steve Schmidt argued.
Pence told Fox News that he was "not only confident" that he'd be on the 2020 ticket, but that he was also "confident that we're going to win in 2020."
"[Trump] has an enormous problem with women, suburban women particularly. He's entirely transactional; loyalty is a one-way street," Steve Schmidt said, suggesting that Haley's memoir, 'With All Due Respect,' was entirely motivated by her efforts to stay in the president's good graces.
"We have a situation where we see the national security of the United States ... compromised over the president's political interests," Steve Schmidt said.
"We're in trouble," Steve Schmidt said in a Monday interview. "You see America in retreat, literally."
"The behavior that we're seeing from the president continues to worsen," Steve Schmidt warned.
"All of them are. It goes with the last name," former GOP strategist Steve Schmidt, who recently quit the Republican Party, said of Melania Trump and the first family.
He was once the campaign manager for presidential candidate John McCain. Now after 29 years as a Republican, he'll be voting for Democrats.
"It was stone cold racist comment. It wasn't a joke, it was mean spirited, it was vile. ABC knew this about her going in," Steve Schmidt said of Roseanne.