Agreed, there are way too many chaotic factors that go into something like this. Take for example the group Anonymous. Anonymous is a very dangerous group of hackers that have attacked and threatened a lot of online organizations, one of which was the Pentagon. They have also threatened to destroy Facebook before. We should definitely stay away from the Internet if we were to do something like this.

I don't think that direct democracy would work, however, representative might work. People could directly vote for someone to represent them over the Internet, and then those representatives could all get together online somewhere (or in person as well) so that the result wouldn't be quite as botched if they were actually done directly. I feel like this would be a better solution than everybody directly voting for who they please.