Although I spent five years in England, I'm not much of a Royal Watcher. But I think the Prince to whom you refer is Andrew, who was indeed a Naval Officer and flew a helicopter during the Falklands Campaign.
You're right about Andrew -- but, Charles also had a military career (although he didn't see combat).
http://www.princeofwales.gov.uk/about/bio_flying.htm
An historian I once heard said that it is important to remember that the British once ruled half the world & they didn't get there by being pansies. He said we shouldn't let the veneer of manners fool us about the character beneath. Historically, the aristocracy were all warriors -- the Royals were the meanest of the mean.
While things have changed a lot since then, many of those warrior values remain in the Royals. Diana tried to redefine the Monarchy as a sort of Paris Hilton celebrity role. The media loved it; but the rest of the Royal family hated it -- especially when she went on her whine-fest on daytime tv.