Running Mt. LION 12GB ram I tried clearing fonts cache via Font Agent Pro and that didn't help. I did a Shift Reboot to disable any Illustrator plugins, no help. I don't know how to add an attachment so I can send the large Illustrator Crash Reoort.
It appears to be a problem with the installation. Is this part of the Creative Suite? As part of the elimination process, you might try making a new user account and starting AI from there.