You are completely ignoring the part where he effectively replaced the core of that insignificant political party during the takeover. It's incredibly deceptive to conflate the single most conservative movement in history with leftism because of a hostile takeover of a tiny political party. If you actually read those 25 points, it's a blueprint for a regressive totalitarian dictatorship with a command economy. If you consider that 'leftist', then I couldn't disagree more.
The Nazi party had a left wing well until just before Hitler was appointed chancellor, when it started causing problems for the man and he had it purged. (A lot of the leaders of this wing of the party were killed in the Night Of The Long Knives.)
Source: I read a biography on Hitler, but I don't have time to go track down the exact citations/references. This page might be a good start: