Seems like it would be easier to just put down the threat of the far-right at this point, dancing around with this garbage only emboldens them and makes them do worse things to people.

Ah, but the "center" is far more afraid of the left than the far right. The far right doesn't question the fundamental structure of capitalist society, just who exactly should be at which tier of the hierarchy. The far left wants to dramatically alter or destroy that structure entirely.