Your discussion about the SA membership of Arnold Schwarzeneggers father, Gustav Schwarzenegger, has reached Austrian public and press
Die Presse.
Some informations for you from the official broadcasting company
ORF:
Arnold Schwarzenegger himself ordered a checkup of his fathers past by the "Simon Wiesenthal Center" in LA and it resulted negative.
Gustav Schwarzenegger entered SA one year after the "Reichskristallnacht" in 1939. At this time - when it was nearly impossible to make any kind of career in the "Reich" without joining the Nazi - this was a way not to get drafted to the fighting army "Reichswehr" on Hitlers Poland attack but to be attached to the "Feldjaeger" (Military Police) units. So did Gustav Schwarzenegger.
As far as the "Simon Wiesenthal Center" investigated, he kept quite a low profile.
The year he joined the SA, 1939, does not point to a convinced Nazi but to a copurchaser who just took the existing chances of how to avoid being member of the fighting troops. His highest rank was the one of a "First Sergeant".
Gustav Schwarzenegger died in 1972 as "Postenkommandant" (Chief of a policestation) in Austrian Steiermark where he applied for after Worldwar II. Arnold Schwarzenegger who always kept distanced to his father's convictions and opinions did not appear at his funeral.
So I am not concerned about his father's relationship to Nazis, but much more concerned about the fact, that he is an actor. Actors do have directors you cannot see. And as a Republican his directors are the same as the ones of GWB, whose grandfather was much more convoluted in Nazi affairs than Gustav Schwarzenegger ever was.
Greetings from Good Old Europe