What Roddenberry said Starfleet is not a military organisation.

What JJ Abrams (together with most subsequent Star Trek writers) heard Starfleet is definitely a military organisation.

What Roddenberry said The Federation operates on a moneyless economic model.

What JJ Abrams heard The Federation operates on a capitalist economic model.

What Roddenberry said The Federation is a futuristic, post-scarcity utopia with no poverty or bigotry.

What JJ Abrams heard The Federation is the United States of America in space.