Honest question: If I was the owner of an ISP, and just for this exercise assume that I am providing my services in an area where there is at least one competi

Honest question: If I was the owner of an ISP, and just for this exercise assume that I am providing my services in an area where there is at least one competitor (so I don't have a monopoly). And as a human being, I disliked certain topics; for this example, the topics are radical Islam websites, pornography sites and cat pictures. Now the question; As I am the owner of a private company, am I entitled to block access to all the sites that show pictures of Bin Laden, boobs or kitties? I might be sued by site owners and some of my clients... but isn't this situation similar to the way some cable network can choose to broadcast certain channels and not others? I am all in favor for free access to information, and against censure, even when I might dislike certain topics. But I can only see a blurry line between people's right to access something and the owner of a network to block said access.