Mueller is investigating Russian interference in the 2016 campaign and whether Trump has sought to obstruct that probe.
Levin also pointed out that it's odd that McGahn reportedly feared he would be made a fall guy if Mueller pursues obstruction of justice accusations against Trump.
Former New York Mayor Rudy Giuliani arrives at the Trump National Golf Club Bedminster clubhouse in Bedminster, New Jersey, on November 20, 2016.
Christie argued that extensive cooperation from Trump's top White House lawyer is "not in the president's interest".
But he fumed at the suggestion in a front-page New York Times report that McGahn had cooperated fully to protect himself from legal jeopardy, giving Mueller's team more than the president was aware of in 30 hours of testimony over the past nine months.
"Anybody needing that much time when they know there is no Russian Collusion is just someone looking for trouble", he wrote. But according to another source familiar with the matter, McGahn's attorney did not give the President's lawyers a full accounting of what was said to the special counsel and it was not requested.
Cohen has been under investigation by the U.S. Attorney's Office for the Southern District of NY, and the raid of his office, home and hotel room in April sparked an angry reaction from Trump. And, you know, I think Mr. McGahn, along with other White House officials who presumably have answered questions of Mr. Mueller, did so because, practically, they didn't have a huge amount of choice.
Omarosa: I believe Trump wants to start a race war
She said this week she chose to release the recordings to prove she is not lying about what happens inside the White House. But Lara Trump , wife of the president's son Eric, has largely managed to buck that trend over the past couple of years.
The Times reported that McGahn, over at least three interviews, laid out how Trump had tried to ensure control of the special counsel investigation.
"Dowd has a good sense of it, he talked to them at the time", Giuliani replied, later adding, "I think that through, through John Dowd, we have a pretty good sense of it". "Unlike Nixon, however, Trump won't leave willingly or graciously". "Sometimes further inquiry can reveal the truth other times it doesn't". He added that, had the lawyers forced the Mueller team to subpoena witnesses, they would have lost the ability to exert privilege over witnesses and documents.
The president's latest outburst against the Mueller probe comes amid a separate uproar over the president's use of security clearances to punish his critics, which also has evoked comparisons to McCarthyism.
Calling the story a "Fake piece", Trump seemed particularly incensed at the suggestion that McGahn could be a "RAT" like John Dean, the former White House counsel who testified against Richard Nixon during the Watergate scandal. They believed Trump's lawyers should have claimed attorney-client privilege for McGahn.
Though the White House did not identify a specific impetus for the event, debate over the necessity of ICE has grown sharper in the wake of reports of officers' mishandling and abuse of immigrants in USA custody. On Meet the Press, Giuliani repeated his fear of a "perjury trap".
"It's somebody's version of the truth, not the truth", he said, telling NBC's Chuck Todd: "Truth isn't truth".