Suggestion or idea...
Merge both organizations into a new "American Veterans" organization.
In some places that have supported both with meeting halls it could mean closing one of the two, but it would be better than losing both when neither group has enough to keep their post going. And another thing -- open membership to all veterans regardless of whether or not one served in a foreign war, or during one of the qualifying periods for the Legion.
And let’s also include Brits, Canadians, Aussies, and New Zealanders who also have served often alongside Americans in many wars.