There is no widespread support. There are some people to which you can say something they don't agree with and back the argument up by saying it's on Wikipedia, and they will say "Anyone can edit Wikipedia".
Have you looked at the donation statistics? And the page view statistics? Plenty of people complain about Wikipedia, but far more people use it and support it on a regular basis.
I think Wikipedia has widespread public support. I, for one, have never said that Wikipedia has _not_ had widespread public support.
Simply because a project has a lot of support, though, does not mean that it is by any means perfect or that it has no (serious!) flaws. It simply means there's nothing better available.
Epistemia aims to provide something better.
—Thomas Larsen