They incorporate both left and right. Hitler's claim to the orb, scepter, crown and sword of the Holy Roman Empire wasn't very leftist.
Thoughtful people interested in learning more about how the Nazis are part of the Left may be interested in seeing the very important movie "The Soviet Story"
One of the points that the movie recounts is how the Nazi Party was originally formed - as a splinter of the Communist Party over a rift caused by race issues. The Nazis were adamant about focusing on race; the Communists had different priorities. They continue to share most other core beliefs but hate each other because of the rift over race, among other things.
The Nazis adopted various Christian trappings in a craven effort to widen their appeal but no Church scholar would consider them a “Christian” organization.
How so?