They also sought out the mentally disabled, homosexuals and those who disagreed with them, which in no ways belittles the fact that the Jews made up the majority of those incarcerated and murdered, particularly towards the end of the war.
I don't think it was widely known amongst the man on the street or our forces exactly what lengths they had gone to, shock was described by both Soviet and US/UK forces on the ground at what they found when they got there, grandad said they were expecting to find something like a POW camp, not hell on earth, the upper echelons probably knew, but not the 18 year old privates.
I think mans inhumanity to man is important, the banality of evil, and the casual way normally good people do evil things if authority says it's OK. Peter Malkin, the Mossad agent who oversaw the capture of Eichmann says in his book how Eichmann was not the Devil as he expected, but a boring, monotone, bespecticaled accountant type - and yet he oversaw the most dreadful atrocities, and normal people, who without a war might never have committed even a traffic offence, carried out those crimes without conscience because they were state sanctioned and OK.