Sen. Lamar AlexanderLamar AlexanderGOP eyes big gamble on ObamaCare Mnuchin, Price meet with GOP senators Reid bids farewell to the Senate MORE (R-Tenn.) said Monday that Majority Leader Harry ReidHarry ReidSenate passes dozens of bills on way out of town Staff shakeup begins at Dem campaign committee The Hill's 12:30 Report MORE's (D-Nev.) success in blocking minority amendments to legislation is destroying the Senate, and called on Reid to act like some of the more successful majority leaders over the last few decades.

"By his actions, the majority leader is destroying the Senate, which was once described as the one touch of authentic genius in the American political system," Alexander said on the Senate floor.

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"The Senate has become a Tuesday-Thursday club, run by one senator and orchestrated by the White House," he added.

Alexander was reacting to Reid's decision to limit amendments to a bill extending emergency unemployment benefits. Reid has said he could allow some "relevant" amendments to the bill, but as of Monday afternoon, there was no deal on which GOP proposals might be considered on how to pay for the extension.

Last week, Reid said he wouldn't allow any amendments at all, which led Alexander and others to say the Senate has become a body that only passes ideas that Reid supports.

"The majority leader's actions go to the very heart of our government," Alexander said. "Tennesseans didn't send me to Washington to rubber stamp the majority leader's ideas, not this majority leader, not any majority leader."

Alexander also recommended that Reid model his leadership on prior majority leaders of both parties in who were known for working with the minority party.

"The current majority leader, I would respectfully suggest, could start by following the example of Majority Leaders Robert Byrd, the Democrat, and Howard Baker, the Republican," he said. "They were not afraid — those majority leaders — to allow amendments. They were not afraid to defeat amendments."

Alexander predicted that if Reid were to work more cooperatively with Republicans, he wouldn't have to work so hard fighting off GOP proposals that he doesn't support. "Almost all of the effort to keep bills from coming to the floor has to do with minority members not being allowed to have the say of the people who elected them to serve," he said.

Senate Minority Leader Mitch McConnellMitch McConnellSenate passes stopgap funding bill, averting shutdown Senate advances funding measure, avoiding shutdown President Obama should curb mass incarceration with clemency MORE (R-Ky.) and Sen. Chuck GrassleyChuck GrassleySenate sets date for hearings on Sessions's attorney general nomination Mnuchin, Price meet with GOP senators Business groups express support for Branstad nomination MORE (R-Iowa) made similar complaints about Reid's leadership earlier today. Alexander was followed immediately by Sen. Orrin HatchOrrin HatchTax reform: Starting place for jobs, growth Overnight Finance: Senate Dems dig in as shutdown looms | Trump taps fast-food exec for Labor chief | Portland's new CEO tax Mnuchin, Price meet with GOP senators MORE (R-Utah), who agreed that Reid's actions are hurting the Senate.

"Every leader has tried to protect their side, but this has gone to the point of ridiculousness and the denigration of the Senate itself," he said.