Just so you know, the faggotry is pretty much Ouran style. Japanese girls dig it, so the three main duelists are always sorrounded by fangirls who wanna slip into their bed.
You see "after" scenes which can make you think two characters have just been doing the horizontal tango together and considering this is Utena, they probably have (this includes gay and lesbian pairings, but most characters (except one who is lesbian only) are bisexual).
And yes, the phallic symbolism and the symbolism in general is VERY intended (if you know moonspeak you'll notice even the freaking lyrics of the opening and the second ending have triple meanings with innuendos). There are doctoral thesis of this series and yet it being "lol, deep" doesn't detract it from being a good anime and a funny one at times (especially the "Nanami fillers" and the shadow theater)