It has around 200 poems, a lot of vulgarisms, and many of them seem senseless and random to a shallow person who can't see deeper. I want to allow normal people to tap into the misery of the lives from the most sociopathic people on The Internet. Is it possible to publish such a radical book?
There's no real limit on what can be published, and I don't think vulgarity is a barrier on poetry (in some markets, sure, but far from all).
The question is who exactly you're aiming this proposed book at. Is it a humor/gift item ("The Poetry of 4chan!")? Or is this serious, "artistic" poetry? Or perhaps, as you mention, it's a sort of character study - delving into the psyches of these writers and trying to say something about them as a group (in which case you might want some additional material, perhaps viewing these 4chan sociopaths from several different angles and not just the possibly-oblique poetry).
If you want to pitch this book, you'll have to have a good, clear proposal, because otherwise this could easily wind up with a "why the hell would I want to publish random ramblings from people who post obscene pictures on the internet?" reaction.
(Of course, publishing's an iffy prospect, doubly so for oddball projects. Even if it's possible, it's not gonna be easy.)
Sure, what are you waiting for?
Go to http://kdp.amazon.com/ and publish it right now. Log in, paste it into the form, fill out the book details and click submit.
Amazon deletes you? Try Barnes and Noble. Go to http://pubit.barnesandnoble.com/. Follow the three simple steps.
Barnes and Noble deletes you? Try Feedbooks. Go to http://www.feedbooks.com/help/self-pub-howto/. Follow the four publishing steps.
Feedbooks deletes you? At that point buddy, you're really fighting the tide. Consider doing a personal blog. http://www.blogger.com/ You might even get some Adsense revenue that way.
I don't think you'll find a publisher if you keep racial slurs for amusement in. Indeed, if you self-pub with that, you may well find yourself removed from vendors. Anything else goes, though. Go search on Amazon for PETS WITH TOURETTE'S...
(Also, I doubt very much this comes under "radical" ;) ).
As someone mentioned earlier- anything can be published.
If the real question is will a publisher pay you anything to publish it-The answer is will enough people pay money for the work to allow the publisher a chance to get a ROI? Need I mention that the market for poetry is not large?
Unless the work is really well-written and has some redeeming value I probably wouldn't be tempted to buy it even if it was self-published - based on your description.
If you think it is something that others will BUY then send query letters to agents and see if anyone is interested enough to represent you. If you don't come up with a really GOOD query letter I'd be willing to bet the only group who might make any money will be the postal system (when you send query letters and copies) and they are losing money. (Yeah, I know email is free but you'll have to try every agent and some still don't use the net.)