Though a majority of House Republicans are united on the proposed path forward, too many remain uncommitted to overcome their soon-to-be one-vote margin. If they can’t pass a budget to jump-start the process, Senate Majority Leader John Thune (R-South Dakota) and his caucus have a proposal ready to go, according to a leadership aide. The Senate wants to break up the legislative package into two pieces, which would complicate passage in the House.

Republicans return to Washington on Tuesday to embark on the challenge, fully aware that previous attempts to curtail spending and enact conservative policies have been derailed by fiscal hawks.