ok let´s nitpick these claims individuallyu

Quoting: daffy
* Collectivism (left) versus individualism (right).
Nazi system had no room individualism, exception being the leading elite which was also case in Soviet Union.
Quoting: daffy
* Redistribution of wealth and income (left), or acceptance of inequalities as a result of the free market (right).
Ok, I have to admit this more of a difference:
stealing money from Jews was "redistribution of wealth" for Nazis. And the inequalities were not accepted in theory in SU but in real life they were (the nomenclature).
Quoting: daffy
* Whether the government's policy on the economy should be interventionist (left) or laissez-faire (right).
Again nazi germany´s economic policy was closer Keynes´s ideas , who was a leftist, nazis had no hesitation to interfere in economy if they felt their "machine" was in danger.
Quoting: daffy
* Support for widened lifestyle choices (left), or support for traditional values (right).
Soviet Union was very traditionalist, they just redefined the term "traditions". This also exemplfied that both regimes hated gays fiercely.
Quoting: daffy
* Whether human nature is more malleable (left) or intrinsic (right).
I am not so sure about this, my english is not that so I´ll pass this one

Quoting: daffy
* Whether the government should promote secularism (left) or religious morality (right).
Ok, this is more of a difference. But Stalin´s regime was very close to being a newly defined religion: the worship of Stalin and science ministers Lysenko´s false beliefs on science. And Hitler wasn´t really a religious person, well not a christian person at least, maybe some sort of pagan...
Quoting: daffy
* Support for internationalism (left), or national interest (right).
more of difference but Soviet Union was considered to be the "best" among all nations, even if the others were communist as well.
Quoting: daffy
* Support for cultural and economic autonomy (left), or support for globalization (right)
Now, Hitler was a strong anti-Globalist (if there was such term as then), he preferred Germany´s interest above else. Stalin wasn´t really a supporter of nether cultural nor ecomic autonomy, Soviet way was the only way.
Quoting: daffy
* Support for class conflict (left), or for class collaboration/class ambivalence (right).
Stalin and Hitler defined these terms in way that supported their ends. They didn´t see much difference in class and race. It was only that Hitler emphasized the word "race" while Stalin emphasized "class". But the targets of the violence were pretty much the same Poles, Jews (yes Stalin also disliked Jews even if not that much as Hitler)