Republicans in Congress are coalescing around a slow-down strategy designed to stifle the Democrats’ impeachment investigation into President Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE.

It’s a strategy that mimics the administration’s largely successful efforts to hamper investigations into Trump’s role in Russia’s 2016 election interference. The White House refused requests for disputed information in those probes, and the battles are now bogged down in the courts.

Republicans are now pulling a page from that playbook in hopes of smothering the impeachment inquiry arising from Trump’s communications with Ukraine before it gains any more steam.

The White House on Tuesday evening said it would halt all cooperation with the Democratic investigations, a decision prefaced by the State Department's decision that morning to block a key witness, U.S. Ambassador to the European Union Gordon Sondland, from being deposed on Capitol Hill.

“Given that your inquiry lacks any legitimate constitutional foundation, any pretense of fairness, or even the most elementary due process protections, the executive branch cannot be expected to participate in it,” White House counsel Pat Cipollone wrote in a letter to Speaker Nancy Pelosi (D-Calif.) and the three House committee chairmen leading the impeachment inquiry.

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The decision will make it more difficult for Democrats to move forward with their inquiry, though it risks that Trump will also face an article of impeachment on obstruction of justice — a move Democrats have telegraphed.

Still, blocking witnesses and ending any cooperation with the probe threatens to bog Democrats down, which could bring them political peril.

A number of rank-and-file Democrats have warned that a long-drawn-out impeachment investigation carries risks for the party in a high-stakes election cycle when they’re trying to protect dozens of vulnerable incumbents. And Republicans clearly see an advantage to running out the clock.

“It forces Democrats to be open and deliberate about their intentions, rather than what they’re doing now — which is sort of a disguised, half-hearted and unauthorized inquiry with no rules, guidelines or many members actually on record,” said one senior GOP aide.

After Sondland was blocked on Tuesday, Capitol Hill Republicans pressed the White House to block all future witnesses to the Ukraine affair unless Democrats release the full transcript of last week’s deposition of Kurt Volker Kurt VolkerGOP senators request details on Hunter Biden's travel for probe Yovanovitch retires from State Department: reports Live coverage: Senators enter second day of questions in impeachment trial MORE, Trump’s former envoy to Kiev.

“I’m all for bringing the ambassador in,” Rep. Mark Meadows Mark Randall MeadowsWhite House chief of staff knocks FBI director over testimony on election fraud Anxious Democrats amp up pressure for vote on COVID-19 aid Pelosi hopeful COVID-19 relief talks resume 'soon' MORE (R-N.C.), a member of the House Oversight and Reform Committee, told reporters Tuesday in the Capitol, referring to Sondland.

“But let’s only do so after we release the full [Volker transcript].”

The hardball strategy casts doubt on the planned deposition on Friday of Marie Yovanovitch, the former U.S. ambassador to Ukraine. The same three House committees — Intelligence, Oversight and Foreign Affairs — that summoned Volker and Sondland are scheduled to conduct her deposition.

State Department officials have not said they’ll block Yovanovitch’s testimony, but Republicans in Congress have made clear they see Volker’s closed-door testimony as an exoneration of any presidential wrongdoing, and the administration's letter suggests she will not be appearing.

The new effort comes after a growing number of Republicans have bemoaned what they considered a muddled message from the White House surrounding Trump’s July 25 phone call with Ukrainian President Volodymyr Zelensky — and the impeachment inquiry that sprung out of it.

Trump, during that call, had pressed Zelensky to investigate former Vice President Joe Biden Joe BidenFormer Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick Bloomberg rolls out M ad buy to boost Biden in Florida MORE, a leading 2020 presidential contender.

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In response to the impeachment launch, Trump has, at turns, defended his request that a foreign leader investigate a political rival; denied dangling U.S. aid for political favors; blamed his Energy secretary for initiating the call; and lashed out at his critics, accusing Schiff and Speaker Nancy Pelosi Nancy PelosiDemocratic senator to party: 'A little message discipline wouldn't kill us' Overnight Health Care: New wave of COVID-19 cases builds in US | Florida to lift all coronavirus restrictions on restaurants, bars | Trump stirs questions with 0 drug coupon plan Overnight Defense: Appeals court revives House lawsuit against military funding for border wall | Dems push for limits on transferring military gear to police | Lawmakers ask for IG probe into Pentagon's use of COVID-19 funds MORE (D-Calif.) of committing treason.

“Hasn’t 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 been fully discredited by now?” Trump tweeted Tuesday. “Do we have to continue listening to his lies?”

It’s uncertain whether the GOP stonewalling strategy will be successful.

Polls have shown growing support for impeachment, though Republicans have pointed to some battleground surveys that suggest House Democrats in swing districts could be hurt by the impeachment push. Pelosi resisted impeachment throughout much of 2019, largely because she feared it would hurt such members.

Republicans appear to hope that by dragging out the process, they can plant seeds of doubts with the public about impeachment — and make vulnerable Democrats all the more nervous about the path forward.

Democrats have indicated they want to move forward quickly with an impeachment inquiry.

While they’re still delivering subpoenas — including one issued Tuesday seeking Sondland’s testimony — Democrats have all but abandoned efforts to challenge the administration’s recalcitrance in the courts. Instead, they’re treating that refusal to cooperate as evidence that the White House is obstructing a congressional investigation — an impeachable offense, in the eyes of many Democrats.

“The failure to produce this witness, the failure to produce these documents, we consider yet additional strong evidence of obstruction of the constitutional functions of Congress, a co-equal branch of government,” Schiff told reporters in the Capitol Tuesday, shortly after Sondland canceled his appearance.

Pelosi, for her part, said Tuesday there’s no deadline for the Democrats’ investigations — and no guarantees their impeachment inquiry will lead to impeachment articles.

“We’re having an inquiry; we’ll see where it takes us,” she said during an event in Seattle. “If it takes us to that place, at that time the determination will be made as to what they are.”

Republicans are no strangers to high-profile investigations into prominent figures across the aisle. Their probe into former Secretary of State Hillary Clinton Hillary Diane Rodham ClintonBloomberg rolls out M ad buy to boost Biden in Florida Hillicon Valley: Productivity, fatigue, cybersecurity emerge as top concerns amid pandemic | Facebook critics launch alternative oversight board | Google to temporarily bar election ads after polls close Trump pledges to make Juneteenth a federal holiday, designate KKK a terrorist group in pitch to Black voters MORE’s role in the deadly 2012 attacks on a U.S. Consulate in Benghazi, Libya, spanned more than 2½ years, cost more than $7 million — and ended a month after the 2016 election sent Trump to the White House.

With Trump now the target, however, Republicans are rushing to the defense of their White House ally — and even adopting some of the same messaging arguments that Democrats did through the Benghazi probe.

Rep. Lee Zeldin Lee ZeldinDCCC reserves new ad buys in competitive districts, adds new members to 'Red to Blue' program Overnight Defense: House panel probes Pompeo's convention speech | UN council rejects US demand to restore Iran sanctions | Court rules against Pentagon policy slowing expedited citizenship The Hill's 12:30 Report: Republicans conduct in-person convention roll call MORE (R-N.Y.) said he’s outraged that Pelosi and the Democrats would spend time investigating the president instead of joining with Republicans to pass issue-based reforms, like a new trade deal and legislation to rein in drug prices. The whole country, he said, is “being held hostage” by liberal activists who have it in for the president.

“So if we sound like we’re pissed as we stand here, it’s because we are,” Zeldin said in the Capitol on Tuesday, flanked by Meadows, Gaetz and Reps. Jim Jordan James (Jim) Daniel JordanHouse panel pulls Powell into partisan battles over pandemic Sunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election House passes resolution condemning anti-Asian discrimination relating to coronavirus MORE (R-Ohio) and Scott Perry Scott Gordon PerryOn The Trail: How Nancy Pelosi could improbably become president GOP lawmaker: Systemic racism doesn't exist and there's 'more to the story' of Floyd's death We're united in an effort to end the FDA's dog testing mandate MORE (R-Pa.).

“The American people are getting screwed by an enraged liberal activist base demanding impeachment,” he continued. “They don’t even care what the crime is; they don’t care what the facts are; they don’t care what the evidence is.”

Updated: 5:22 p.m.