During the Cold War, the left had a stance of anti-anti-Communism. Some of these people were fellow travellers, but many were not. The point was to face down McCarthyism and similar movements that swept up all leftists.
The right should adopt anti-anti-fascism, since the left uses this term in the same way the right uses the term “commie”—i.e. a broad brushstroke to neutralise even mild suggestions to move society to the right.