The reason conservative elites have a hard time dealing straight-forwardly with Marjorie Taylor Greene is Republicans can't win elections without appealing to Evangelical extremists. This is considered rude to point out, but I think it's just an empirical reality at this point.
The GOP spent the past 50 years committing itself to the idea that if economic conservatism isn't enough to win elections, they'd rather appeal to the most illiberal impulses of white Christians than change the economic message. They had alternatives, but this is what they chose.
A lot of conversations about creating a post-Trump GOP imagine it being economically right-wing but not undemocratic. There's a reticence to see that maybe right-wing economics creates the conditions for the illiberalism rather than being an alternative https://twitter.com/jbouie/status/1357124245080444930