Verhoeven is the filmmaker, that adapted the book to the screen. He is very much an anti-fascist, and absolutely did turn the book into a satire of itself and the ideology it tries to convey.
> Director Paul Verhoeven admits to have never finished the novel, claiming he read through the first two chapters and became both bored and depressed, calling it "a very right-wing book" in Empire magazine. He then told screenwriter Edward Neumeier to tell him the rest. They then decided that while both the novel and its author Robert A. Heinlein strongly supported a regime led by a military elite, they would make the film a satirical hyperbole of contemporary American politics and culture: "Ed and I [..] felt that we needed to counter with our own narrative. Basically, the political undercurrent of the film is that these heroes and heroines are living in a fascist utopia - but they are not even aware of it! They think this is normal. And somehow you are seduced to follow them, and at the same time, made aware that they might be fascists." Verhoeven later claimed that many viewers had not caught on to the satirical part. Ironically, diehard Heinlein fans later declared that the filmmakers themselves also completely misinterpreted Heinlein's nature and intentions. They say he was a libertarian who opposed conscription and militarism, and depicted the oligarchy-by-ex-military-citizenry government in the book because it was an example of something that has never been done in real life. He was not advocating it, but was merely speculating that such a system could exist without collapsing.
https://www.imdb.com/title/tt0120201/trivia/?item=tr0782027