ALT WOKE. Feature list if you'd like to adopt it:
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Less clumsy than 'anti-authoritarian liberal who is suspicious but not knee-jerk opposed to language policing'
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Signals modern, urban, pro-tech liberal as opposed to 60s boomer liberal values clearly, includes hat tip to civil rights
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More pronounceable than 'liberal-tarian' (which is invariably misread as 'libertarian' if you don't include the hyphen and attach an explanation for those who haven't heard the term)
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Clearer to people under 30 than 'McGovern libertarian' (Marc Andreessen's preferred label), which is kinda where this came from
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Signals certain tactical similarities with alt right as well as shared critiques of the establishment, while distancing itself from values/priorities of that camp.
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Lacks the utter strategic confusion of the Bernie camp and the sclerotic dysfunction of the authoritarian camp
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By not explicitly including a hat tip to 'libertarian' in the phrase itself, frees you up to borrow from libertarian doctrines without necessarily importing wholesale baggage you don't want to, like climate skepticism or pro-gun-rights (though you'll be able to bring those in if you don't see them as baggage)
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One possible weakness is that symmetry with 'alt right' might make authoritarian right equate and reduce alt woke down to 'neo stalinist' the way authoritarian left managed to reduce alt right down to 'neo nazi', but it shouldn't happen so long as you emphasize broader inheritance from terms like 'alt rock' and connotations of 'indie' (hey, how about 'indie left'? If you don't like alt woke, I recommend 'indie left'... we'll secretly agree they mean roughly the same thing).