Where I grew up was about 25 miles from Mather and McClellan AFBs, 35 miles from Travis AFB, and maybe 45 miles from Mare Island and the mothball fleet in Suisun Bay. AFAIK, my parents didn't give much thought to nuclear risk. Maybe they figured it was far above their paygrade and anything they might "do" would make a slight color difference in how toasty we'd be.
MM was just using his supposed family history as an irrelevant intro to, "We're living in strange times once again...".