GOP: Obama's wooing may end logjam

The White House charm offensive comes as automatic spending cuts have begun to take hold, and if Washington does not block them, they could cut jobs as varied as air traffic controllers, meat inspectors, and Head Start teachers.

"I hope that this is sincere," said Republican Rep. Paul Ryan, chairman of the House Budget Committee, who lunched with Obama at the White House last week. "We had a very good, frank exchange. But the proof will be in the coming weeks as to whether or not it's a real, sincere outreach to find common ground."

And tea party favorite Sen. Ron Johnson of Wisconsin - who has proved a fiery foil to Obama's agenda - said he heard from White House chief of staff Denis McDonough and now is willing to give "the president the benefit of the doubt."

"If we're going to solve these problems, it's going to have to be done on a bipartisan basis . . . and I think most Republicans are more than willing to work with this president," he said.

Obama hopes this week to woo lawmakers to help avert a coming budget showdown - the next deadline is March 27, when the current short-term budget extension expires and a government shutdown looms.

Yet Congress is scheduled to leave town on March 22, meaning the president is working on a shortened timeline to avert the latest crisis. And the automatic spending cuts, known as sequester, remain in place despite both parties calling them ill-conceived and -executed.

Coburn said he was puzzled that it took so long for Obama - whom he called a friend after last week's dinner - to make the effort to work across party lines. "It shouldn't be news that the president is reaching out in a bipartisan fashion," Coburn said.