Binary very basically means 2. When you're talking about how someone thinks, it means everything is either black or white, 0 or 1, yes or no, true or false. It's always one of 2 choices. There's never a 3rd option, or a null value, or a combination, any nuance or gray area of any kind.

Androphilic means love of masculinity. Androphilic thinking would then mean taking a thought or position with masculine parameters without alternate consideration and presenting such as logical conclusion when in fact, it's a logical fallacy.

Specifically in this case, I'm drawing a parallel between this modern expression of hyper-masculinity where men must always seek to dominate or perish (or so they believe) to the author's statement about power. That the only reason someone would seek power would be to weird it over someone else. To dominate.

That's clearly nonsense, narrow minded, very limited thinking. It's binary and androphilic.