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Yeah, I have reread the book last year. (Due to all the hot takes of people about the book in regards with Helldivers) and the movie is a lot better propaganda than the book (The middle, where they try to justify their world, drags on and on and is filled with strawmen and really weird moments. Esp the part where the main character, who isn’t the sharpest tool in the shed, is told that he is smart enough to join the officers. You must be this short to enter)).
Technically he doesn’t have connections to Thiel directly. They have connections to the lesswrong Rationalists (note, rationalwiki is not associated with the lesswrong Rationalists, and they don’t like each other, this place is also on team rationalwiki). However enough Rationalists are (or are friends with) neoreactionaries (for a long time LW was one of the few places where they were sometimes welcome, or even talked about). But this is one of the places where (through heavy layers of snark and derision) you could learn about these groups.
However, as the lore is deep, very annoying, quite bad (A lot of IQ-anon type people), I suggest you don’t start reading up on this. Ignorance once lost cannot be regained (There are also some very small (small as on low risk, but if you are one of the rare people high effect) mental health risks if you believe very specific things about skynet style AI and a few other silly beliefs). And you already got the important parts (Thiel and people close to him suck).