I looked into the VFW when I got out of the Navy in 1975. I was told I was ineligible because I couldn't prove I was ever in a war zone. I was in the submarine service, and where the boats went and what they did was classified (and still is), so there was no way I could prove something like that. Interestingly, years later the VFW changed its rules and I was then eligible to join. Never did.
"The great object is, that every man be armed. Everyone who is able may have a gun." - Patrick Henry