i think the kinds of anti pc, anti woke aspect that maybe holds this coalition together is a more secularized version of social conservatism. The christian conservative side of the new right are basically exclusively invested in the civilization verse barba barbarism axis. If you need to use state power to defend against barbarism, well do it. Barbarism from their perspective would include things like racial agaltar, racial disorder, protest and the undermining of the distinction between men and women. For traditional for libertarians, usually it's a coercion versus liberty axis.