I've actually read Starship Troopers a long time ago and it's probably not too far out of line politically from other "silver age" SF. Heinlein had a weird career...
FWIW from memory Samuel R Delany (Black gay SF author) wrote somewhere that the realization that Johnny Rico was from the Philippines (he speaks Tagalog near the end) was very liberating for him personally as a form of inclusion. And Heinlein could probably truthfully state the only way he was "racist" was he was against the Bugs but for the entire human race.
The movies' lack of any PoC character whatsoever was probably Verhoven's way of playing with the Nazi imagery.