Counter-Terrorism and Border Security Bill

I can tell my right hon. Friend that he has my wholehearted support for the Bill. It is one thing to go after the people who are looking at terrorist material online, but it is another thing under clause 4 to go after people who are publishing it online. Surely, what we really need to do is get this material offline as quickly as possible. Will the Bill do anything to shut down the internet providers that allow such material to be put online?