if hitler really wasn't right wing why did his hand picked SA deliberately go after anti-leftist?

Right wingers think socialist in the party name is relevant. At their level of thought a seahorse is a equine.

Historians view the Nazis as conservative because in Germany in the 1930s,
the Nazis bitterly opposed the Social Democrats;
the Nazis bitterly opposed the Socialists;
the Nazis bitterly opposed the Trade Unionists;
and the Nazis bitterly opposed the Communists.

When I say "bitterly opposed" it means the Nazis sent brownshirt thugs to disrupt rallies and fight in the streets against their political opponents. The Nazis were a reactionary party reacting against the left wing in Germany at the time. The Nazis built their platform on racism, nationalism, and fear of the foreign. People view the Nazis as conservative because the Nazis set themselves up as opposition to everything liberal in Germany at the time.