BAP wrote a book popular in right-wing circles called Bronze-Age Mindset. In the late teens, it was reviewed in a couple of the usual places by conservative figures. BAP has lost a lot of steam since then, and it doesn't look like he'll lead his group of Frogs and fringe-heads to direct action, even though he fetishizes the warrior class.
BAP and his fellow travelers were early believers in Trump and grew disillusioned. They were consistent champions of Putin as well -- after all, he appeared topless on a horse and learned karate. I can only imagine that Russia's military failures in Ukraine have made them seek other idols.
The good thing about BAP is that he knows his sources. He has mastered political philosophy and read the original texts to a depth and degree that jokers like Yarvin cannot aspire to.
Like Yarvin, BAP wants a strong man. He does not believe in democracy. He does believe in racial superiority and inferiority. While I happen to disagree with him about a lot of issues, including those, for all the usual reasons, if I were to engage him on his own terms, I would simply point out that authoritarian regimes like those he idolizes have really obvious weaknesses.
Those include the inability to maintain high-quality, transparent communication under a punitive regime, and the inability of a kleptocracy to inspire the kind of collection action that wins wars.
BAP is chasing a pipe dream.