Way too american...

More like a typical military chain of command of 20th century. Actually nowadays innovation and ability to perform independently is highly valued. The groups for that were set in the WW2, when the elite units began.

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Applied Science? All science is applied. Eventually.

We would not have a series if it were.
The Colonials would have surrendered to actual toasters, much less a Cylon.

I joined the Navy to see the world, only to discover the world is 2/3 water!

French military don't put their hands behind their backs, they put their hands in the air.

Silly me.
I thought the complaint could have been about how the "communal showers" framing stopped with the armpit level at the bottom of the screen. If it was French, (or a lot of European countries), it wouldn't have stopped there. That's been done in STARSHIP TROOPERS and even ROBOCOP before.

Or maybe the complaint could have been about the close-ups of the "gun violence"...

Both of those are pretty "American", but I would have guessed that rigid military posture and behavior would have been any of several other countries.

They don't follow orders obviously. They respond to the drill sergeant's commands with references to existentialist philosophy.

They follow orders only independent thought is highly valued. Unlike in the US where any deviation can lead to Court-martial. The Australians for instance can question orders. It stops the "I was under orders defense". If you're given an order that could be end badly or that is unagreeable. Killing innocents for example. Invading territories.

They're also considered one of the best trained armies and special forces in the world.

Your mother is idiot...

You libarated ?! You *beep* american bitch CCCP did the job not you...