It looks the issue is with fonts ,
Disable any third party font management software , if you have it installed.
Follow the KB :- http://helpx.adobe.com/x-productkb/global/troubleshoot-fonts-mac-os-x.html ,
I tried doing some of the steps but none that I tried had much of an affect. I don't have any Third Party Font Management software installed, the only one on this computer is Apple's Font Book.
When trying to clear the Font cache using Terminal only the "-removeUser" actually seemed to do what it was supposed to. The "shutdown" and "ping" command both gave me the same response along the lines of explaining "remove", "removeUser", and "h" for help. I'm pretty sure that it was supposed to do more than that.
When I got to step 10 trying to search for Adobe Font lists, nothing came up in the search.
Beyond the fonts that came with the Mac and perhaps a few that came when I installed Microsoft Office I haven't added any new fonts.
After one of the earlier steps I tried to run InDesign and it seems to crash "more quickly" than it did before that point. I can't remember exactly which step I was on. I'll include a new Crash Report incase anything has changed.
I have not tried using the Font Cache Cleaner freeware that was mentioned in the Troubleshooting article.
I'm not sure what to try from this point.
Updated Crash Report: http://pastebin.com/rnyRhzYx