The mental health of officers and sailors in the Navy was, obviously, a concern of the Navy. But from the way that the system was set up, you would think quite the opposite was true.
The shining example was the Personnel Reliability Program, or PRP. People in the PRP included anyone whose job had to do with nuclear stuff and, for all I know, intel and crypto folks (but don't quote me on the latter two). If someone was in the PRP,on the left side of the inside of the folders holding their service record and medical records was a large pink sheet with a triangle that proclaimed that particular service member was in the PRP and that any issues pertaining to reliability, etc. were to be reported to that person's commanding officer.
It took no great skill of imagination to realize that the initial result of such a call would be that you'd lose your security clearances and, depending on what you did, your job. You'd be sent to some bullshit medical holding billet while the Navy figured out how best to get rid of you. If you weren't shitcanned outright, you'd have a black mark on your record showing a hint of unreliability, which would be fatal for the career of any officer. Even without being a member of the PRP, most everyone knew that admitting to any mental health problem was a career-killer. Since everyone knew this, there was terrific real-world pressure to keep quiet about anyone who was having problems, regardless of what the official policy happened to be about "looking out for your shipmates".
None of that changed the fact that people had a lot of problems. Families broke up under the stress of near constant absences. Relationships broke up, often when a shore-duty puke stepped out with the girlfriend or boyfriend of a deployed sailor.
What happened was a lot of self-medication, 99% of the time with alcohol, sometimes with other drugs, though urinalysis made using anything other than alcohol tricky to do. If someone sought professional help, they went to a shrink on the outside, they used an assumed name and paid cash.
[1] But it was rare, indeed, for someone to cough up the cash to get help, so help usually came from a case of Bud or a bottle of Jack Black.
All this came to mind when I read the coverage about the shooting at Ft. Hood a few days ago. It is pretty obvious to me, at least, why, if anyone noticed that the shooter was becoming unstable, nobody said anything about it.
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[1]There was a story of someone who was so pissed off at their commanding officer that they went to a civilian shrink, used the CO's name, and confessed to all sort of unsavory and illegal things, culminating with a discussion of who he was going to kill. As the story goes, the shrink called the cops, the cops called the base cops and the CO had a very unpleasant time until they showed the shrink the CO's photo and the shrink said it wasn't him. But that's probably not really true.