When I went home, I opened up my own standalone version of CS6 and couldn't find the feature even when I fully updated the software. Is something going on here?
Copy CSS from layers (first introduced in 13.1 in Dec 2012) is only available to Cloud members running CS6 and/or CCC.
http://forums.adobe.com/message/5190743
It's not available to owners of perpetually licensed versions.