Thinking about my day-to-day interactions with the various levels of government here (Canada), the vast majority of it requires a physical presence: policing, firefighting, road maintenance, building inspection, etc. None of those things are very well served by a distributed/digital government. Taxation could be done digitally, of course.
If the primary goal is to affect public policy on a global scale, there's nothing preventing a "crowd-sourced lobbying organization" from being established.
Call it a government if you want, but for a lot of people the main things that government does for them is maintain infrastructure and protect public safety. It's a neat idea, no doubt, but there's a lot of things that citizenship (i.e. the right to live in Canada forever) gives me that couldn't really be replaced digitally.