Your control-command-F shortcut conflicts with the native "Enter Full Screen" shortcut on OS X 10.7; I can't see how to create a new document without remapping the default key binding.
As it's been said, it's exactly the point. The current keyboard mappings are required to trigger fullscreen, while (non-alpha & non-beta) browsers don't implement a fullscreen API.
That seems to be the point; you can only edit documents fullscreen. It prompts you to press F11 in Chrome.