I would like to second Ramesh Ponnuru's unofficial nomination of Paul Ryan to become Speaker of the House:
But Ryan is respected by most people on both sides of the divide. Many of the Republicans who were against Boehner and McCarthy would listen to him, and trust him to listen to them. They sometimes disagree with him, but they trust that he is in politics because of conservative ideas. No other House Republican has the same reservoir of goodwill. No other House Republican is considered as good a spokesman on such politically perilous issues as entitlement reform.
After Kevin McCarthy's Benghazi gaffe and his atrocious effort to explain it away to Bret Baier, I argued that McCarthy made John Boehner look like Ronald Reagan. I concluded, "But if Republicans are to offer a credible legislative program and be an effective opposition to the Obama Administration, they are going to have to do better than Kevin McCarthy."