No there's not, but hey there's a precedent.
White supremacists/nationalists and Nazis are/were anti-Semites as well but I doubt Louis Farrakhan, Ilhan Omar, or Al Sharpton will be getting any invitations to join any time soon. Having one thing in common with a group does not make one part of that group. As for the Axis powers, since at least 2 of the 3 thought they were of a superior race and had designs of building an empire, it is almost certain that had they prevailed in WWII, they would have soon enough been fighting each other.