Jews won simply because they were able to make the connection between anti-Semitism and Nazism throughout Western society.
Before World War II, it was a consensus in all Western nations that Judaism was inherently bad, every child, adult and elderly person understood that Jews did not wish them well and that it was not good to associate with jews, they were segregated into ghettos.
Because of World War II and the Holocaust, Jews became martyrs and became citizens with special treatment in society. Now, chuds all over the world are praying with their feet together that the Palestinian Genocide happening now will change this scenario, but it is most likely that it will not change, and Jews will continue to be special citizens in the West.