ATLANTA — Most Republicans agree the unwieldy health care overhaul offers a golden opportunity for the GOP in the 2014 midterm elections. What they don’t agree on is what tactics to use in opposing that unpopular law.

In a number of Senate primaries, conservatives are arguing over the best way to oppose President Barack Obama’s signature accomplishment. The outcome of those campaigns could affect the battle over which party controls the Senate.

In intraparty skirmishes from Georgia to Nebraska, the GOP’s most strident candidates and activists are insisting on a no-holds-barred approach. They accuse fellow Republicans — including several incumbent senators — of being too soft in their opposition to the Affordable Care Act and to the president in general.

The struggle will help determine just how conservative the Senate Republican caucus will be during Obama’s final two years. And it could influence which party controls the chamber, with Democrats hoping the most uncompromising Republican standard-bearers will emerge from the primaries and fare as poorly in general elections as their counterparts did in several 2012 Senate races. Republicans need to gain six seats for a majority.

Republican Rep. Jack Kingston of Georgia, who wants to succeed retiring GOP Sen. Saxby Chambliss, stepped into the rift recently when he seemed to scold much of his party during an interview on a conservative talk radio show.

“A lot of conservatives say, ‘Nah, just step back and let this thing fall to pieces on its own,’” Kingston said. “Well, I don’t think that’s always the responsible thing to do.”

Rep. Paul Broun, one of Kingston’s rivals in a crowded primary field, pounced immediately, declaring in an Internet ad, “I don’t want to fix ObamaCare, I want to get rid of it.” Conservative commentators hammered Kingston with headlines like “Kingston has surrendered on ObamaCare.”

In Tennessee, state Rep. Joe Carr blasted Sen. Lamar Alexander for serving as a key GOP negotiator in the deal to end the partial government shutdown that resulted from House Republicans’ efforts to deny funding for the health care law. Alexander subsequently described himself as a “conservative problem solver,” a characterization that Carr says “typifies how out of touch he is.”

Kentucky businessman Matt Bevin is using a similar line of attack in trying to unseat Senate Minority Leader Mitch McConnell, as is Mississippi state Sen. Chris McDaniel in his primary challenge to Sen. Thad Cochran. Carr, Bevin and McDaniel all say they’d be more like freshmen Sens. Mike Lee of Utah and Ted Cruz of Texas, tea party favorites who pushed the defunding strategy and vexed their longer-serving colleagues.