Now that Eric Cantor is out, right-wing Republicans want to make sure the job of House majority leader goes to someone who meets their standards. Two prominent leaders on the right, Reps. Michele Bachmann of Minnesota and Steve King of Iowa, now propose postponing the Republican leadership election (currently scheduled from June 19) until they can find a candidate they consider sufficiently conservative. 

“We don't have the lineup of conservative, rule-of-law candidates in place,” King said, as quoted by The Hill.

Currently, there are two frontrunners for Cantor's job: Majority Whip Kevin McCarthy of California and Rules Committee Chairman Pete Sessions of Texas.

King said he would like Rep. Jim Jordan, R-Ohio, make a run, while Bachmann expressed disappointment that Rep. Jeb Hensarling, R-Texas, dropped out of the race Thursday.

Many of Bachmann's and King's colleagues disagree. Rep. Devin Nunes, whom the National Journal calls a supporter of fellow Californian McCarthy, expressed frustration about Bachmann and King. "They just come out here to you guys and complain and they blog and they Facebook, but when it's time to actually raise money and go recruit candidates … they don't have a capability of doing it."