I'm not sure what the connection is you're making between the members of the
Justice Society of America joining the armed forces and the
All-Star Squadron, especially since the JSA members hadn't signed up for the military until
after FDR asked all heroes to work together as the
All-Star Squadron.
The JSA members joining the military and the group being referred to as "The Justice Batallion" happened back in
All Star Comics #11.
The story from
All Star Comics #12, where the JSA fights the Black Dragon Society, was featured in
All-Star Squadron #30.