I'd be particularily interested in comparing the above ratio for Vietnam, or to German or Russian (combat & non-) WW2 deaths.
I think most college-educated Americans are aware that the Soviets lost nearly endless waves of soldiers against the Nazis. I also think most Americans are largely indifferent to the numbers of German rank-and-file soldiers killed, as if sympathy for the enemy dead would somehow diminish admiration for the heroes who defeated the Nazis.
On a side note, I have a Scottish friend who still swears up and down that Americans weren't involved in D-Day. I tried pointing him at Wikipedia entries for Utah and Omaha beaches, but I get the impression he believes it's just American propaganda that the US had much involvement in WWII before the Nazis were on the retreat.