Never speak of "moderate Republicans." There aren't any.
House Narrowly Approves Rules Amid Concerns About McCarthy’s Concessions https://www.nytimes.com/2023/01/09/us/politics/house-rules-republicans-mccarthy.html?smid=tw-share
House Rules Package Approved Amid Concerns About McCarthy’s Concessions

After initially balking at a package of changes to House rules that enshrine concessions the speaker made to ultraconservative members, Republicans united to push them through.

@jeffjarvis We should stop calling them Republicans. They are the Anti-Democracy party. They don’t believe in facts, transparency, accountability, rule of law, checks and balances, or the Constitution itself. #antidemocracy