If they didn't care either way, there wouldn't be any questions...Having questions about billeting is not the same as not being able to billet with an openly gay person. Gays and straights have been living together, showering together in the military probably for as long as there has been any military. And every person who has joined the military since the inception of DADT should have understood that there was always a chance that they could be showering with a gay person. Whether they are openly gay or not, would not change how they view another man's/woman's body. These are things that should be explained to troops. Not everyone will understand, but it will help to get some to see why such a change only change's the view of a person who feels that a gay guy/girl would be attracted to them, not the potential actions of the gay person. This is especially true of units that already have gay personnel in them. The guys/girls in those units have already been showering/living with gay personnel, with little/no incidents (since, if there were incidents, most likely the gay person would have been put out under DADT). Another thing that would help is ensuring that personnel understand the rules of the military, i.e. sexual harassment, false reports, discrimination, violence, fraternization, and sex on base/in berthing spaces.
Training and good leadership are key to ensuring that this does happen with as few incidents as possible. Our servicemembers can do this. It is not asking too much from them to understand that those who are against gays serving openly are probably the biggest problem in this whole matter. Their intolerance is what is going to cause most of the issues. Everything else can be dealt with, to a large extent, through rules already in place in the military.