I can think of a few more, much worse problems, that have to do with open gays getting into the upper eschelons of the chain-of-command, as they surely will once the "door is opened." If they follow the model they've pursued in civilian organizations, expect pink ICBM bases, pink submarines, pink air-defense bases.
Expect our adversaries to know which is which, too.
I’ve had only limited experience with gays in the Army and retired nearly a quarter century ago.
Back in the 70s I had a gay cook on my boat, openly gay and a cross dresser. Neither I nor my crew had a problem. It was a great cook, never put the make on crew and we accepted it.
The next was my company commander, openly gay and it would come into the club with its boyfriend holding hands with its partner. It caused some problems but it had friends in high places.
The last were two women in my company when I was a 1st Sgt. They were room mates in the barracks and often had lover’s quarrels. Being 1st Sgt. I often had to step in. I wanted to split them up but none of the other women wanted either for a room mate. Everyone but the officers knew they were gay but they were darn good mechanics and we couldn’t afford to lose them. I finally had a heart to heart with them – my copy of the UCMJ on my desk. No more sex in the barracks (both were loud) and no more open displays of affection. They were to do like everyone else, find a motel. They took it to heart and things worked out.
All this was back before “Don’t ask, don’t tell.” If homosexuality is made legal in the military the problems would only increase. I can not see it as being in any way comparable to integrating Blacks. Homosexuality isn’t simply a disliked, it’s revulsion on the gut level.