It's too bad, I think idea of organizing a social network based on proximity and centered around community information is a viable idea, It's just that NextDoor is doing that with our worst instincts.
NextDoor and Craigslist and Reddit's /r/{city} communities just prove that it may be viable but it's pretty undesirable. I think it's best to not give the most neurotic, ill people of your community the loudest voice, but these social networks also create this neuroticism and illness.
You also create a scenario (NextDoor especially) where all the sane people are driven out by the crazies. Back when NextDoor was new, after a year it would come up in conversation and sure enough, anyone normal would admit they tried it and had to delete it.
Social media is messing us up. I don't think we're missing some new take on it that's going to make it all better. I think the vestigially tribal parts of our brain make it a non-starter. We need to get back to the face-to-face -- it seems to be the only way we keep in mind that there's a human at the other end of the line, not some nebulous automaton that we craft into everything we hate in the world.
Lately some these guys have a post history in /r/Seattle too, talking about CHAZ or whatever.
It's obnoxious, there's enough going on locally in NYC without a bunch of racists jumping in to defend stop and frisk or whatever.
It's not something you see in subreddits for smaller or less popular cities with similar demographics. Subreddits for these tend to be actually useful.