Right-wing, at least in the context of American politics, might be anti-government, but I see anarchists as more left-wing.
The left wing is more authoritarian than the right, at least in a historical sense; thus, the right wing is close to anarchism. The Founding Fathers were probably considered close to anarchists in their day because their ideal government was only one step ahead of anarchy (i.e. as little government as humanly possible).
I'd actually expect someone to say that historically, the Left was more Libertarian than the Right.
Look at what Mussolini and Hitler did during their primes. Their major support bases were labor unions. They enacted universal health-care, fought for higher wages, and encouraged profit sharing among large corporations (i.e. "spreading the wealth around"). Also, Hitler was a strong proponent of animal rights.
Go away and never ever come back. You have committed a crime against history.