(CNN) -

In a vote that could have implications on the November presidential race, Wisconsin Gov. Scott Walker successfully overcame a recall vote Tuesday that would have removed him from office.

The big night for Republicans had a sliver of a possible silver lining for Democrats, who may have picked up one state Senate seat, which would tip control to the Democratic Party. But the legislature will be out of session until after the general election in November.

Democratic Mayor Tom Barrett of Milwaukee conceded defeat to Walker in a recall attempt triggered by the governor's push to reform collective bargaining rights of public sector employees to reduce state spending.

"I just got off the phone with Gov. Walker and congratulated him on his victory tonight. We agreed that it is important for us to work together," he said.

Walker gave a triumphant victory speech Tuesday night, thanking many for helping him survive the recall effort.

"Tonight, we tell Wisconsin, we tell our country and we tell people all across the globe that voters really do want leaders who stand up and make the tough decisions," he told a roaring crowd at his campaign headquarters in Waukesha.

He also addressed the polarized climate in the normally centrist state -- his crowd jeered when he mentioned that he had a phone conversation with Barrett before taking the stage.

"Bringing our state together will take some time -- there's just no doubt about it," he said.

Wisconsin Lt. Gov. Rebecca Kleefisch, also a Republican, will hold on to her office, CNN projected.

Four Republican senators faced recall votes Tuesday as well. At least three held on to their seats. But Sen. John Lehman, a Democrat, declared victory in ousting incumbent Sen. Van Wanggaard. The vote was extremely close, and results have not been certified, CNN affiliate WTMJ reported.

"It is clear that we won the 21 district," Lehman told cheering supporters

The recall effort against Walker was spurred by a law he backed and signed in March 2011 to limit the collective bargaining rights of state worker unions.

The AFL-CIO in Wisconsin worked in favor of the recall.

"We wanted a different outcome, but Wisconsin forced the governor to answer for his efforts to divide the state and punish hardworking people. Their resolve has inspired a nation to follow their lead and stand up for the values of hard work, unity, and decency that we believe in," the statement said. "We hope Scott Walker heard Wisconsin: Nobody wants divisive policies"

The vitriolic campaign included tens of millions of dollars in funding from outside the state, mostly for the Republican governor.

The victory by the first-term governor may give Republicans a major boost in efforts to make Wisconsin a battleground state in the November presidential election.

Presumptive GOP nominee Mitt Romney called Walker to offer his congratulations.

"Governor Walker has demonstrated over the past year what sound fiscal policies can do to turn an economy around, and I believe that in November voters across the country will demonstrate that they want the same in Washington, D.C. Tonight's results will echo beyond the borders of Wisconsin," Romney said in a statement.

President Barack Obama easily won the state in 2008, but Walker's unyielding commitment to fiscal austerity made him the poster child for tea party conservatism.

Obama's campaign released a statement praising those who worked on the recall.

"While tonight's outcome was not what we had hoped for -- no one can dispute the strong message sent to Governor Walker," the statement said. "Hundreds of thousands of Wisconsinites from all walks of life took a stand against the politics of division."

Leading up to the Tuesday vote, both candidates took jabs at each other.

Walker complained that repeated recall efforts over past years were stalling progress and costing the state needed money.

In conceding, Barrett drew catcalls when he mentioned the call with Walker. And he said it was important that he and the governor work together.

But he urged his supporters to fight on.