They might not take the censorship laying down but if the world government decide to do it there is not much that can be done in the long run
Wireless networks are the last avenue if landlines are isolated for government/business use only, if not, underground p2p networks, VPN, proxies, etc can evade such censorship. Look at China, people there can still access the outside internet if they know how, so it's not all lost if it happens.
If so however, that's when the vicious methods must be deployed, great sacrifice is sometimes required to ensure your freedoms.