Did you try to delete als the preference files? If not, you could give this a try. I solved problems like you described this way.
Double click the InDesign Icon in the programfolder while holding down CMD+OPTION+CRTL+SHIFT then you will be asked if you wish to delete the preference files.
Before you do so I would advice you to backup the directory:
~/Library/Preferences/Adobe InDesign/Version [your version].
since you have your shortcuts, your menu set, your grep searches, … in there. You can copy those important directories back after your started InDesign and the directory structure was newly build.
(This is for the Mac)
Daniel (from Switzerland)
Do you get any error messages? Does ID start to launch?
I suspect the problem could be corrupt recovery data from a crash before the reinstall. Make sure the InDesign Recovery folder is empty.