Kennedy, R-La., responded on "America's Newsroom" to the ongoing battle between the Justice Department and House Judiciary Committee Chairman Jerry Nadler, D-N.Y. who surprised some by offering to negotiate with the DOJ "without conditions" on his subpoena requests.
The offer raised the possibility that Attorney General Bill Barr's contempt vote may be postponed or canceled, if both sides return to the negotiating table. Nadler, however, pointedly refused to cancel the planned contempt vote prior to beginning any new negotiations, as the DOJ had demanded.
At the same time, Nadler criticized what he called DOJ "brinksmanship," and blamed the Justice Department for purportedly cutting off negotiations on May 7.
Kennedy, who sits on the Senate Judiciary Committee, called Nadler's actions "wicked crazy" and "wicked abusive," and questioned whether the subpoenas have any "legitimate" legislative purpose.
"They've asked the administration for everything but the kitchen sink at the White House and they may ask for that," he said.
Kennedy said when the White House or DOJ don't produce the documents, Democrats make "apocalyptic" claims about Trump undermining the Constitution.
"We're going into the third year that they've been throwing a tantrum over the election result. They need to leave the man alone, let him be president," he argued, adding that Democrats should campaign against the president if they dislike him.
"I wish I didn't have to say this. There are some members of the House leadership whose only mission in life is to demonize the president."
Fox News' Gregg Re contributed to this report.