Forget about the bloodiest war in all of human history?
All wars are bloody and full of tragedy. However, people tend to forget things rather quickly. If you look at photos of WW1, you'd see people missing their jaws, burnt, mangled in barbed wire, suffering from gas attacks and literally coughing their lungs out and suffering a slow painful death, trench foot, corpse rats, etc. While WW2 did have more losses, you don't see as many gruesome photos as seen in ww1. Probably you don't see as many gruesome photos of WW2 because people remembered how horrible the experiences were during the great war, so there was probably a lot of censorship to prevent deserters and to keep morale high for recruitment.
As far as bloodiest, I assume you are talking about the death camps. The thing is the higher ups in the allies knew of them, but never cared. The guys on the bottom were pretty much clueless about these camps until they started discovering them. Resistance fighters and people living near them also knew of these camps, but all they could do was either keep quiet or tell the allied soldiers once they came. Of course then you hear the stories on tv and in school books about the brave heroic soliders of freedom who came to liberate these poor jews, but what you don't hear about is that how the jews in the camps were put under quarantined for weeks and not permitted to leave the camp. Most of those European countries hated the jews, gypsies, gays, deformed, and handicapped and pretty much didn't care. The creation of Israel was pretty much a PR move to look good. However it should be noted that a majority of the jews living in Israel came from the Soviet Union and Eastern countries like Romania, Bulgaria, Hungary, etc and western allied nations like France. Not to say that you are wrong, the losses are high, but I'm just trying to give everyone a clear picture of what really happened during the war.
The Allies rarely worked with the USSR. Then after world war 2 you have the drunken Winston Churchhill coming out to blabber about the evil Iron Curtain and then we plunge into the cold war.
However we tend to forget things rather quickly. Most people don't even know of the Korean War which has become a foot note in our history classes, the first Gulf War/Desert Storm isn't really talked about all that much. Same with Vietnam, if you see anything about Vietnam it is usually associated with anti-war stuff while ww2 is portrayed as the good war and Vietnam being the bad one(at least in the US).