The reoccurring meme that if the GOP gets only a small majority in the House that it will be handing the power of the House over to Greene seems farfetched.
About 140 GOP election deniers were elected to the House, last I heard. That puts them in the majority of the GOP caucus. If the GOP had a 20-30 majority in the House, their will would certainly prevail.
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However, if the GOP ends up with a majority of only a handful of votes, then power is handed to the few GOP representatives who will be willing to cross the aisle and vote with the Democrats, just as Manchin and Sinema wield power in the Senate.