From a surveillance perspective, genetic testing at birth, routine DNA testing, fingerprint and retina scans are commonplace, more or less constant and routine background and identity checks even at the roadside. Although I admit I do not recall any military element to it.

Me neither. The story focused more on acute classism than pure authoritarianism, although the two go well hand in hand.

If anything, it was pretty optimistic that humans would focus on exploring space instead of oppressing each other.

I mean, the lower castes in the movie seem pretty oppressed to me? Just not in the obvious "Sovietpunk" way usually used to describe oppression on the screen.

Not any more than your average janitor is today.