Republicans and Democrats appearing on the Sunday morning political shows offered differing takes on who should testify during the next phase of the House's impeachment inquiry as it shifts from the House Intelligence Committee to the Judiciary Committee.

Rep. Tom McClintock Thomas (Tom) Milller McClintockHouse to vote on removing cannabis from list of controlled substances House votes to remove Confederate statues from Capitol Cook shifts 20 House districts toward Democrats MORE (R-Calif.), a member of the Judiciary Committee, told ABC’s “This Week” that it would be to President Trump Donald John TrumpBiden says voters should choose who nominates Supreme Court justice Trump, Biden will not shake hands at first debate due to COVID-19 Pelosi: Trump Supreme Court pick 'threatens' Affordable Care Act MORE’s advantage to have an attorney representing him present at the hearing this week.

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"That's his right, but I can also understand how he is upset at the illegitimate process that we saw unfolding in the Intelligence Committee," McClintock said, adding that he also believed witnesses the White House has ordered not to appear, including acting chief of staff Mick Mulvaney Mick MulvaneyOn The Money: House panel pulls Powell into partisan battles | New York considers hiking taxes on the rich | Treasury: Trump's payroll tax deferral won't hurt Social Security Blockchain trade group names Mick Mulvaney to board Mick Mulvaney to start hedge fund MORE and former national security adviser John Bolton John BoltonJudge appears skeptical of Bolton's defense of publishing book without White House approval Maximum pressure is keeping US troops in Iraq and Syria Woodward book trails Bolton, Mary Trump in first-week sales MORE, could work to Trump’s advantage.

“Of course, he has to weigh that against the enormous, catastrophic damage that would do to the doctrine of executive privilege,” he added.

Rep. Val Demings Valdez (Val) Venita DemingsFlorida Democrat introduces bill to recognize Puerto Rico statehood referendum Sunday shows - Trump team defends coronavirus response Demings slams GOP coronavirus relief bill: Americans 'deserve more than the crumbs from the table' MORE (D-Fla.) said she held out hope Trump would participate in the hearings.

“I think our main focus right now is to have the president and his counsel, who you know are given the same privileges as President Nixon and President Clinton had to participate and engage in this impeachment process,” Demings, a member of both committees, said on “This Week.”

Lawmakers announced last week that the Judiciary Committee would hold its first hearing Wednesday based on the report compiled by the Intelligence Committee, which wrapped up two weeks of public hearings in the impeachment inquiry. Judiciary Committee Chairman Jerrold Nadler Jerrold (Jerry) Lewis NadlerDemocrats shoot down talk of expanding Supreme Court Schumer: 'Nothing is off the table' if GOP moves forward with Ginsburg replacement Top Democrats call for DOJ watchdog to probe Barr over possible 2020 election influence MORE (D-N.Y.) in a letter on Friday told Trump he has until Dec. 6 to let the committee know whether his counsel will participate in upcoming impeachment proceedings.

Judiciary Committee ranking member Doug Collins Douglas (Doug) Allen CollinsDemocrats ramp up pressure on Lieberman to drop out of Georgia Senate race The Hill's Campaign Report: Biden on Trump: 'He'll leave' l GOP laywers brush off Trump's election remarks l Obama's endorsements GOP, Democrats look to galvanize women with SCOTUS fight MORE (R-Ga.), meanwhile, said Intelligence Committee Chairman Adam Schiff Adam Bennett SchiffSchiff to subpoena top DHS official, alleges whistleblower deposition is being stonewalled Schiff claims DHS is blocking whistleblower's access to records before testimony GOP lawmakers distance themselves from Trump comments on transfer of power MORE (D-Calif.) was chief among the witnesses Republicans would like to call during the next phase of the inquiry.

“My first and foremost witness is Adam Schiff,” Collins said on “Fox News Sunday,” adding, "If he chooses not to [testify], then I really have to question his veracity in what he’s putting in his report.”

Lawmakers were also pressed on public support for impeachment.

House Democratic Caucus Chairman Hakeem Jeffries Hakeem Sekou JeffriesDemocratic leaders: Supreme Court fight is about ObamaCare Pelosi: House will stay in session until agreement is reached on coronavirus relief Races heat up for House leadership posts MORE (D-N.Y.), a Judiciary Committee member, dismissed a poll showing declining support for impeachment, pointing to other polling indicating continued majority support as well as 70 percent of Americans believing Trump did something wrong.

“Our job is to follow the facts, apply the law, be guided by the U.S. Constitution and present the truth to the American people no matter where it leads because no one is above the law,” Jeffries told Fox’s Chris Wallace Christopher (Chris) WallaceTrump, Biden will not shake hands at first debate due to COVID-19 Will Chis Wallace's debate topics favor Biden over Trump? House to vote on resolution affirming peaceful transition of power MORE. “That’s what we have been doing. That’s what we are doing. That’s what we’re going to continue to do moving forward.”

Rep. Zoe Lofgren Zoe Ellen LofgrenBusiness groups start gaming out a Biden administration Top Democrats call for DOJ watchdog to probe Barr over possible 2020 election influence DHS opens probe into allegations at Georgia ICE facility MORE (Calif.), the only House Democrat to have also worked on impeachment proceedings for former Presidents Nixon and Clinton, said the allegations against Trump are worse than the allegations against Nixon.

“President Nixon's misconduct related to trying to use the levers of government to hide the Watergate burglary. His misconduct had to do with trying to throw the election, but at least it didn't involve involving other foreign nations,” Lofgren said on CNN’s “State of the Union.”

“If you take a look at what the Founding Fathers were concerned about, it was the interference by foreign governments in our political system that was one of the gravest concerns. Nixon's behavior didn't fall into that range. So, in that way, this conduct is more serious,” she added.