Can I import .mov files with embedded closed captioning into Premiere Pro CS6? I'm importing .mov files that have embedded closed captioning because I need to do some very minor edits. I know that I cannot export .mov files with embedded closed captioning, but can I also not get at that closed captioning data from anywhere within Premiere Pro CS6 after importing?

I need the files coming out the other end with closed captioning available, whether as a sidecar file or not, so I'm hoping there's some way to do this.
You might try CCExtractor. I'm not sure if it supports text tracks in .MOV containers, but it's a good starting point. I can create .SRT files which are common companion files for captioning.