From statehouses to Capitol Hill, frustration is building and spilling out during closed-door meetings as Republicans press leaders of the effort to block funding for the health care law to explain where their strategy is ultimately leading…

And on Wednesday at a private luncheon, several Senate Republicans — Dan Coats of Indiana, Ron Johnson of Wisconsin and Kelly Ayotte of New Hampshire — assailed Senator Ted Cruz of Texas, who has led the movement to block funding for the health law.

Ms. Ayotte was especially furious, according to two people present, and waved a printout from a conservative group friendly to Mr. Cruz attacking 25 of his fellow Republican senators for supporting a procedural vote that the group counted as support of the health law…

“The story people see now is President Obama sinking like a rock for months, and the only thing holding him up are the Republicans,” lamented Haley Barbour, the former governor of Mississippi who previously led the Republican National Committee. “We have to get to the best resolution we can under the Obama administration, and then focus on some other things.”