Well we have some serious short term issues.
To me, the internet is to the First Amendment as nuclear weapons are to the Second. Neither were anticipated when the Bill of Rights was written.
In the 18th century, no one knew people might invent weapons that could kill on such a scale and at such distance. No one knew people could make a beheading video and instantly share it with millions. No one anticipated algorithms that could amplify the worst human impulses to such a degree.
I'd love to see these problems solved in a better way. Here at Hacker New we have a half decent algorithm for promoting quality content based on upvotes and downvotes and flags and karma and such. When that fails, we have Dang's good judgement as a backup. That's censorship too, and it makes this a better place. It's not perfect, but if you were to take the approach of "any censorship is wrong" approach, Hacker News wouldn't be very pleasant.
YouTube is at a much larger scale, but they have a right to do something. Presumably you are ok with them disallowing beheading videos. What about videos encouraging suicide and providing "help"? What about videos telling people how to make chemical weapons? What about videos planning government overthrows? Where do you draw the line?
I don't necessarily have a long term solution, but I support them taking some short term measures.