“Really they are the same thing. A collectivist control scheme branded with a different name. So although they call themselves diehard enemies, they're not incompatible.”
To tell is not enough. Please develop.
They have similarities, but no, there are not the same. By the way, where is collectivism in Nazi Germany?
Nazism is based on racism, not on political choices. They are enemies. One thinks there are races of Lords and Slaves, the other believes in equality. It is not because water and fire can destroy a lot that they are the same. Both are natural disaster, but there finishes the comparison.
To go with your way of thinking, Communism is the same than Christianism. They both slaughtered a lot of people for their own good, and to help them to understand the true and to build happiness…