Should Republicans gain control of the Senate — as they have a fair shot of doing — Mr. McConnell could find himself having to balance the demands of Republicans like Mr. Cruz against those of remaining centrists like Senator Susan Collins of Maine.

But those concerns will come later, as conservatives were busy Wednesday celebrating the triumph of Mr. Cruz.

“This all proves what we’ve said all along,” said Jenny Beth Martin, co-founder of the Tea Party Patriots, “that the Tea Party movement is here to stay. I am actually surprised that people are surprised that Ted Cruz won. I’ve only been home for three days of the last month, and I talk to people from all walks of life and they still want government out of our lives.”

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The Tea Party’s sinewy stamina among Senate candidates is the corollary trend of the moderate Congressional members fleeing the scene, best represented by this week’s surprise retirement of Representative Steven C. LaTourette, Republican of Ohio, who announced his decision through a flame of recriminations about partisanship, and Senator Olympia J. Snowe of Maine, who left her party in a tough spot.

Some are already sensing a shift in the attitude of the Senate leadership.

“I notice that Mitch McConnell is speaking at a Tea Party rally soon,” Mr. Mourdock said in an interview on Wednesday. Mr. Mourdock campaigned with Mr. Cruz, who told him, he said, that he had taken his inspiration from Mr. Mourdock’s insurgent campaign in Indiana.

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“Just the fact that the Republican leadership is willing to reach out to those folks is important,” Mr. Mourdock said. “If that kind of coalition comes together, on Day 1 it will be if not a literal majority a real large majority, and I think on Day 1 we will jump right into the frying pan.”

If Mr. McConnell, who will attend a Tea Party rally in Kentucky with Mr. Paul, feels any discontent anticipating a conference with many more Mr. Pauls, he has not expressed it. “I am very impressed with Ted Cruz and will do everything I can to help elect him in November,” he said.

The dynamic was not lost on Democrats. “I think it’s more of their problem than ours,” said Senator Patty Murray of Washington, the chairwoman of the Democratic Senatorial Campaign Committee. Democrats involved in campaigns further insist that Tea Party candidates will be disadvantaged among the much-coveted independent voters come November.

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“The Tea Party positions and Tea Party policies and Tea Party agenda is going to be a huge vulnerability,” said Matt Canter, a spokesman for the campaign committee.

Of course, Democrats have some of their own candidates who may prove too liberal to be elected. Some analysts believe that Representative Ron Kind might have made a stronger general election candidate in Wisconsin than the more liberal Representative Tammy Baldwin.

The campaign of former Senator Bob Kerrey of Nebraska, who is in an uphill fight against Ms. Fischer, has issued several news releases using her Tea Party affiliation as a pejorative. “She is either sending smoke signals to her Tea Party friends or she is grossly uninformed on what Social Security is,” Paul Johnson, Mr. Kerrey’s campaign manager, said in one.

The campaign for Representative Joe Donnelly of Indiana, the Democrat challenging Mr. Mourdock, said the Tea Party affiliation would be a central theme.

Republicans say, good luck with that. “This will probably come as a newsflash to the liberal Democratic establishment in Washington,” said Brian Walsh, a spokesman for the National Republican Senatorial Committee, “but in states like Missouri, Indiana, Nebraska and Arizona, what voters think is extreme is Obamacare, massive tax hikes on small businesses and $8 trillion in new debt over the last five years. So attacks like this simply show how out-of-touch Democrats in Washington are these days and it’s a very serious problem for their fellow liberal candidates across the country.”