Giuliani won’t be on Trump impeachment team

Several conservative House Republicans have criticized Rep. Liz Cheney since she announced she would support impeachment Tuesday evening. 

The Wyoming Republican is the chair of the House GOP conference -- the No. 3 leadership position -- and was reelected to by GOP members at the start of this Congress.

"We ought to have a second vote," Rep. Jim Jordan, R-Ohio, told reporters Wednesday about the leadership position. "The conference ought to vote on that."

"She should not be serving this conference," Rep. Andy Biggs, R-Ariz., said Tuesday. 

It's unclear how widespread the effort to remove Cheney from GOP leadership is. But Trump's top allies in the House are using impeachment as an opportunity to kneecap Cheney, a potential future speaker, after months of simmering tensions.

-ABC News' Benjamin Siegel

The House has ended its first round of debate on impeachment and is taking the first procedural vote of the day. 

This will likely take roughly 45 minutes to one hour, followed by a second procedural vote on the rule that could take the same amount of time.  

After those votes, the House will begin two hours of debate on the impeachment article charging Trump with "incitement of insurrection."

Democrat Rep. James McGovern, the chairman of the House Rules Committee, when closing out the morning debate, said the impeachment vote will show who in Congress stands with the president "no matter what he does" and who stands up to him.

-ABC News' Benjamin Siegel and Mariam Khan

With the first procedural debate wrapped and a second procedural vote on deck, the House of Representatives will soon debate the article of impeachment -- charging the president with "Incitement of insurrection."

At least once during the hearings, lawmakers were reminded by the presiding officer that masks are required on the House floor at all times.

Rep. Sheila Lee Jackson, D-.N.Y., appeared to summarize the heart of Democrats' arguments when speaking ahead of the imminent impeachment vote.

"The president of the United States is an insurrectionist," she said. "He led an insurrection against the United States of America."

"The president provoked these domestic terrorists with words, with actions, with conduct, that portray and have contempt and hostility to the national value of equal justice under the law, telling domestic terrorists -- nearly all of them white supremacists -- many of them who support them politically -- who stormed the Capitol to derail Congress for derailing its constitutional required duty of counting the vote," she said. "He must be impeached because he is a threat."

Rep. Ilhan Omar, D-Minn., a strong critic of Trump's who called to impeach Trump last week while the siege was ongoing, said it's about holding the president accountable, as their oath as lawmakers requires, she said.

"It was a violent attempt to interrupt our democratic process," said Omar, who also called Trump a "tyrant." "We cannot simply move past this or turn the page. For us to be able to survive as a functioning democracy, there has to be accountability."

-ABC News' Benjamin Siegel and Mariam Khan

House Leader Steny Hoyer, D-Md., began by stressing that Trump's action's last week "demand urgent, clear action by the Congress," and praised House Republican Conference Chair Liz Cheney and a handful of Republicans for agreeing with Democrats that Trump ought to be impeached.

"This is the daughter of the former Republican whip and former vice president of the United States of America. She knows of what she speaks, and she said this as well, 'There has never been a greater betrayal by a president of the United States of his office and his oath of Constitution," he said. "This is not, as Liz Cheney said, just some action. She characterized it as the biggest betrayal of any president of the United States in our history."

Hoyer went on to list GOP Rep. John Katko of New York, the ranking Republican on the Homeland Security Committee who Hoyer described as "not some back-bencher on your side of the aisle" and Rep. Adam Kinzinger of Illinois, among the five House Republicans who have publicly stated they'll vote to impeach the president.

"Mr. Kinzinger said this," Hoyer said, "If these actions are not worthy of impeachment, then what is an impeachable offense? There is no doubt in my mind that the president of the United States broke his oath and incited this insurrection."

Hoyer said other Republicans who he has talked to "in the past 24 hours" agree the president's actions are impeachable.