Well, pretty much all field manuals are for public consumption so long as the "public" knows where to aquire them. I'm pretty sure working on non-secret aircraft is civilian work aswel. So I would assume if the documents you are sourcing from do not say top secret or eyes only, or confidential or you had to sign the book over to yourself and then sign it back in then It would be perfectly legal to put it in an app. Besides if the app is only for you then whats the worry?
What you should do is check the internet and see if the manuals you are going to be siting are out in the open market. If they are and you can find them from another source then you are golden. Besides your saying that you want people to be able to use their AKO or military address to get the app. Lets put it this way, if you are saying that as long as any person is in some branch of service whatever it is then THEY can download your app. If your willing to go that far then I Would bet some hard earned cash that whatever it is is public knowledge.