TIMG: You are showing a complete lack of understanding of that part of history. The name National Socialism had nothing to do with the actual policies. The name of the party is a mere coincidence. The nazis were avowedly against the left, deporting en masse social democrats and communists, and other left leaning intellectuals and those they branded 'anti-socials,' into concentration camps amongst the first victims.
The National Socialists catered to the industrialists, particularly those in the ruhr valley, and also the junkers, the German nobility. Thus their policies were far right wing. They weren't totally laissez faire which they saw capitalism as, but they were a form of totalitarian capitalism controlled via the party, the industrialists and the nobility.
Hitler's promise to the industrialists during the war (and I can dig up the quotation from Speer's book) was that after the war the German economy would switch to a laissez faire capitalist economy for the industrialists.
The only reason the 'National Socialist Party,' became Hitler's party is because he was original a spy for the far-right SA against the leftists such as the NDSAP, he took over the party during a meeting and used it for his own purposes eventually liquidating the SA who he worked for originally only to consolidate his own power.
There is nothing egalitarian or left wing in the NDSAP policies. It was simply not left wing, but far right.