If you press the Google Drive button in QuickOffice, it will basically show you what you have in Google Drive, just like the Google Drive app. But yeah, not sure why they're keeping the Drive app around then.
I don't think of it as an "office app" at all, and it would frankly kind of bizarre to have to use QuickOffice to get at the various tar files, html files, image files, etc, that I've put into G.D....
If anything they should really just share components, with Google Drive invoking Q.O. document editors as appropriate, and maybe a Q.O. app remaining as a thin "office-oriented" frontend (whatever that means).