What is the theme for all my sons by arthur miller?

I think that the main theme is the discrepancy between everyone's moral responsibility towards society and his personal responsibility towards his family.

In ALL MY SONS Joe lets previal his concern for his family, and this leads ultimately to his downfall.

I realize that there are more themes in ALL MY SONS (for example the father-son relationship between Joe and Chris), but I think each action originates from the sense of responsibility.