I should tack on that Lindsay himself is the person who coined the term "woke right", but has given almost no coherent definition of what "woke right" is.
He has, when he first rolled it out. He's not consistent about it, but he was very clear at first:
If you claim that any institution acts with any intentionality, you're "woke." Any observation that any power purposely does
anything is identical to "woke" leftist claims of institutional white supremacy, patriarchy, etc.
So say you've noticed something like a Great Replacement™ happening, and you've heard various regime entities enthusing about it, pointing and smiling at charts and timelines and such. Definitionally, it's not happening. Power has no aims, no plans, no capacity. It's "woke" to hallucinate that it does. If you hallucinate it while being right-wing, you're "woke right."
That's it.
And he threw in some schizo shit about a catholic saint who's the great symbol of a secret nazi death cult we're all in, but nobody knows what he's talking about.