Gary-
The issue you seem to be stuck on is this: all totalitarian societies share certain characteristics. (According to one famous model, they share 6 characteristics.) But these characteristics refer only to the mechanics of state - not to its fundamental beliefs.
This, however, does not make a society left or right, and a totalitarian society can be left or right.
Examples of leftist totalitarianism include Mao, Ceacescu and Xoxha.
Examples of rightist totalitarianism include Pinochet, Rios Montte and Cristiani.
What separates these societies are core fundamental values, in particular the role of class, the role of capital, and to a lesser extent the role of nationalism.
If you look at the above examples from this perspective, it is quite easy to see that Hitler's guiding principles had more in common with Pinochet than with Stalin; with whom he was in direct conflict in many areas.
The second key point one has to understand is that both extremes of totalitarianism ARE closer to each other than to the centre - hence the horseshoe model, which I linked earlier. That also then makes it all easier to understand.
It's a shame this thread is being spammed very heavily by a couple of illiterates, but I will come back and am happy to answer any questions or explain the issues in more detail if you are interested.