No Labels was founded by Republican Mark McKinnon and Democrat Nancy Jacobson — two longtime political strategists and noted centrists within their respective parties. On its website, the group urges voters to "put [labels] aside to do what's best for America."  

The group's inaugural gathering late last year drew the likes of New York Mayor Michael Bloomberg, former Florida Gov. Charlie Crist, former Rep. Mike Castle (R-Del.) and Sens. Joe ManchinJoseph (Joe) ManchinPolitical purity tests are for losers Former coal exec Don Blankenship launches third-party presidential bid Centrist Democrats seize on state election wins to rail against Warren's agenda MORE (D-W.Va.) and Kirsten GillibrandKirsten GillibrandMaloney primary challenger calls on her to return, donate previous campaign donations from Trump Senate confirms controversial circuit court nominee She Should Run launches initiative to expand number of women in political process MORE (D-N.Y.).

Senate Democrats, meanwhile, have begun to mull the possibility of including tax increases or entitlement reform as part of a new agreement that would keep the government operating through the end of September. 

They also want more involvement from the president in the current budget battle. Senior White House advisers got an earful this week from Senate Democrats, who aired frustration that Obama hasn't taken a larger role in the debate.