Following Brett Kavanaugh's confirmation to the Supreme Court, some Democrats have suggested investigating -- and possibly impeaching -- the new associate justice if they retake the House in November's midterm elections.

Harvard Law professor emeritus Alan Dershowitz, however, says that would be "absolutely foolish, inconsistent and hypocritical." 

"Those who believe that Bill Clinton should never have been impeached for allegedly lying about his sex life are now going to lead the campaign to impeach Kavanaugh for allegedly lying about his sexual and drinking activities back when he was a 17-year-old?" Dershowitz said on "America's Newsroom" Monday. "It's hypocrisy run rampant."

Charlie Kirk: Taylor Swift Should Stay Away From Politics

Bongino on Kavanaugh Getting Confirmed: 'Trumpism Has Been Entirely Vindicated'

He said that the Constitution would not permit the impeachment of a sitting Supreme Court justice for actions he took while a private citizen decades ago, nor would it permit using perjury as a pretext for religitating old charges of sexual misconduct.

"I think that Democrats are shooting themselves in the foot. We ought to be moving forward. Let's judge Justice Kavanaugh on his performance as a justice of the Supreme Court," Dershowitz said. "These type of vengeance inquisitions have to stop."

He called on the leadership of the Democratic Party to take control of "rogue" lawmakers, to look forward and not attempt to exact revenge for past losses.

He said if there is a post-Kavanaugh confirmation investigation, it should be a bipartisan probe into the Supreme Court confirmation process and how it can be improved.

Watch more from "America's Newsroom" above.

Trump to Judge Jeanine: Lisa Murkowski 'Shocked' Me With 'Disgraceful' Vote After I Did 'So Much for Alaska'

'I've Got More Indian Blood' Than 'Pocahontas': Trump Rips Dems' 2020 Hopefuls, 'Da Nang Dick' Blumenthal