Well, Wikipedia
was intended to be that project from the start (I've been involved with it since 2003, and that was clearly the intent at the time). A lot of people have started using wikipedia.org as their primary encyclopedia, but I think that's just because nobody's built anything else out of it, so your only choice currently is to read the online snapshot of raw meta-encyclopedia, complete with obvious "work-in-progress" banners everywhere.
Admittedly, it's unclear where it currently lies. Since wikipedia.org's gotten so many viewers, there's a significant number of Wikipedians, and probably the majority of the official folks at the Foundation, who think a reader-centric encyclopedia ought to be a priority. I personally think readers should be secondary, and producing raw content should be Wikipedia's main mission, with some other organization (not Wikipedia or owned by Wikimedia) taking on a reader-centric project of forging that raw content into nicely curated final products. I'd guess most of the old-school (pre-2007 or so) Wikipedians think similarly, but it's quite possible we'll lose out. A bit on a related conflict here: http://meta.wikimedia.org/wiki/Conflicting_Wikipedia_philoso...
And sure, you might not care about educational outreach into the Muslim world. But other people don't care about educational outreach to kids or adults who're offended by nudity (I personally don't care much more about nudity than I care about Mohammed images, though I dislike gore and spider photos). People generally have lots of opinions on which kinds of cultural norms are more important to respect.