I am suggesting that as a whole the DoD makes this stuff into issues. Pretty sure that discriminating against any person because of "race, color, creed, sex, age, disability, or national origin" has and still does prohibit your use of those facilities. The easy solution would be for that unit/base/whatever to tell it's spouses club that they are no longer allowed to utilize base facilities if that is in fact their stance. Instead we have an open public statement about something that everyone should already know, just so that someone can say "see, we made this public statement, we aren't doing anything wrong, look at how open and accepting we are." This is the same mentality that brings about knee jerk curfew/driving/drinking restrictions en masse following a DUI/public incident. Someone always feels the need to CYA by doing something just to say they did something.
Obviously they don't already know it, and it did need to be said, given that the statement was made in response to a group that did disallow membership by a same-sex spouse. So it seems like public clarification about the policy was necessary. The DoD didn't make this into an issue; the spouses club made it into an issue and the DoD is trying to nip that in the bud by making sure that the policy is clear and well-known. If it was an issue once, it would be an issue again, so I don't see the issue with making a statement outlining the policy. That's a lot different than adding a curfew in response to a DUI. To be comparable, it would have to be issuing a statement about DUI's being unacceptable when that was still very new policy and there was room for misunderstanding.