It seems that speech recognition isn't the only way for easy creation to write on mobile devices which half sometimes got a difficult on-screen keyboard and that text autocomplete can also be a another great tool for easy input on such devices. There are third-party android keyboards that have integrated Google auto-completing technology like A.I.type and scrybe but it isn't yet used on the official default android keyboard wich still uses androids inbuilt predictive text engine.
Google Docs is most powerful tool is collaboration which lets you work together on documents. The integration of Google scribe with Google Docs would probably change the writing process altogether with the computer knowing what your going to write.
Unfortunately for now you can´t use Google scribe with Docs but until then try it out at scribe.googlelabs.com/ and the Chrome extension that lets you write in text fields across the web.