Ideologies flow through cultures like heat, stopping long enough to adopt the local customs. Satan works like that. Besides, a kiln is a kiln is a kiln.
I agree, but anti-semitism is not an ideology. It is, unfortunately, more like a local custom.
Nazism was basically a leftist political/economic ideology wrapped up in patriotism and populism. Unfortunately, at the time it was very popular to hate Jews.
Islam is a religious ideology which developed in an area where Jews were not particularly popular.
They're not the same thing.