By your definition of "right wing" perhaps they're not.
But, news flash, the concept changes. The right in Germany, which included them the DNVP, the monarchists, the Army, Hindenburg, von Papen, etc. They brought Hitler to power. They allied with him. They made policy that favored the employer over the employee (herren im haus, master in the house).
The Social Democrats, the Communists... they were opposed to Hitler. They were fucking SHOT because of it.
Basically, you're making an assertion that is directly contradicting the vast majority of historians who have studied that period of time. (Citations incoming: Fritzsche, Peter. Germans into Nazis, Cambridge, Mass.: Harvard University Press, 1998; Eatwell, Roger, Fascism, A History, Viking-Penguin, 1996. pp. xvii-xxiv, 21, 26–31, 114–140, 352. Griffin, Roger, "Revolution from the Right: Fascism," in David Parker, ed., Revolutions and the Revolutionary Tradition in the West 1560-1991, London: Routledge, 2000)
So unless you have something else to bring, I think we're done here.