I know I might be hitting a touchy subject, but I'm prefacing it with this so I can clarify right away: I don't want a Psak, or who holds what. That's for each person to figure out... I just want to know what all the issues are with respect to the Boro Park eiruv, and why someone would hold what he does.
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The second link, which itself contains many relevant and detailed links, addresses the technical issues of the geography, demographics, and (artificial) geology of Brooklyn that govern the permissibility/restrictions of an eruv. The first link addresses a non-legal complication in the case regarding the authenticity of influential documents.
The Main underlying Issue is, is Brooklyn and or New York City a Rishus Harabim Doraisia