Notice that the two guys who played Nazi Germany officers on Hogan's Heroes were Jews!
IIRC, Werner Klemperer survived a concentration camp in his youth.
Three, possibly:
Howard Caine, who played Major Hochstetter, was born Howard Cohen. IIRC, Howard was born in Nashville - and was quite the proficient banjo player. Hard to reconcile that with the Gestapo uniform, isn't it?
all 4 were John Banner and the guy who played major Hochsteder was . Was this an intentional inside joke by the writers?