It would be nice to have all changes, including proposed changes, documented in a relatively easy to navigate format. Git, or any modern SCM, may qualify as a tool to provide that. Some of the most important metadata about proposed changes, even if they don't get included in the final, passed laws, would exist on branches; metadata like who proposed it and who signed off on it, who supports it. If anything, this would make The Daily Show's researchers' job easier.
While politics is 99% emotion, those emotions should include motivation, not frustration experienced early on when trying to grok the system. In a free society, the output of the governance should be accessible to all. One can debate if git is accessible, but it would definitely be a format that is more accessible, and maybe even more machine processable, than the current system.