Written "Nazis" suggests actual membership in the Nazi party. "Spelling nazis" suggests colloquialism of the proper noun, therefore appropriately lower case.
jb4 shrub\ufffdbish (Am., from shrub + rubbish, after the derisive name for America's 43 president; 2003) n. 1. a form of nonsensical political doubletalk wherein the speaker attempts to defend the indefensible by lying, obfuscation, or otherwise misstating the facts; GIBBERISH. 2. any of a collection of utterances from America's putative 43rd president. cf. BULLSHIT