I suppose the point of this question is to get the opinions of people to see what political group(s) they think would most likley suggest reading Nietzsche in at least a somewhat favorable light.
nihlism, post-leftism
Most likely to selectively quote Nietzsche, probably Fascists.
In spite of what Nietzsche actually said about the state.
Ironic, because Nietzsche abhorred nihilism (though as a necessary, passing stage for humanity, he advocated its coming, so that it would pass more quickly).
As to the OP, I think Bostwick hit the nail on the head… a lot of what Nietzsche says can be severely misinterpreted without its context, and that benefits fascism (and other brutal states) very well.
He is like a libertarian who would not have a problem mocking libertarians.
(1) Post-objectivists. This may seem odd, but there is a certain affinity between Rand and Neitzsche with respect to certain themes about life, self-interest and excellence. Rand just “objectified” it and superimposed a more modern context onto it.
(2) Certain anarchists. As a matter of historical fact, Benjamin Tucker, Mikhail Bakuin and (perhaps surprisingly?) Emma Goldman all had positive things to say about Neitzsche. Tucker was also one of the early American translators of Neitzsche, before Mencken.
(3) H.L. Mencken. By all accounts, he was extremely influenced by Neitzsche, with a particularly cynical interpretation.
(4) Neo-nazis and racialists. This is mostly based on misinterpretations, but Neitzsche has been used by these groups for their benefit, especially with respect to Neitzsche’s sister’s superimposition on the post-mortem work “Will to Power”.
(5) Post-modernists. Neitzsche is generally understood by post-modernists to represent the end of “modernity”.
This is kind of the answer I was expecting to see. I suppose I was also fishing around to see if there is any sort of traditional “left wing” type love for the man to any significant degree in any intellectual movement, or is he essentially more of a “right wing” type thinker (using that term as vauge and general as I possibly can) if one insists on politicizing the man. By left wing I mean what most would call left wing: Commies, Socialists, various anarchists, progressives, social dems etc.
Bakuin being influenced by Nietzche is indeed a suprise. I do know there are at least some groups of leftists who appreciate Stirner and Tucker but I am unaware of any groups who do so with Neitzche.