It's pure communist propaganda, and the media are communists.
Even in Weimar Germany, the communists and national socialists hated and fought each other. They did so not out of disagreement but of rivalry. Bloody-handed, bloody-minded, bloodthirsty totalitarians don't like competition.
Following WWII, the Soviet communists continued the charade, doing everything they could to distance themselves (and their brand of socialism) from the disgraced and defeated national socialist enemy. Their fellow travelers in the western media and academia carried water for them.
The charade continues to this day, even though Soviet communism is gone.
Sadly, even some FReepers try to rationalize that somehow fascists and communists were some sort of opposite. It's nonsense.