In the 118th Congress, Kevin McCarthy and far-right lawmakers agreed on two major points in coordinating intra-party disputes over the election of the House Speaker. One was to include three far-right members in the Rules Committee, and the other was to allow one legislator to propose the dismissal of the House Speaker through a privileged process. This article examined how these two agreements changed the legislative process/outcome of the 118th Congress. Statistical analyses and case studies show that the inclusion of three far-right members in the Rules Committee increased the adoption of structured rules and the probability that amendments by far-right members were accepted. In addition, as the conditions for the privileged process of the Speaker dismissal were eased, McCarthy had great difficulty in adopting closed rules or using rule suspension. These situations inevitably caused a serious legislative gridlock, and significantly weakened Speaker McCarthy's political authority.