Using the VBulletin product installer to 'uninstall' LDM does not remove the LDM database tables.  
This is deliberate a) in case you subsequently decide to reinstall and b) to get round
a feature of VBulletin whereby the installer only runs the product installation code when
the version number changes.

When you decide that you really (!!) want to kill LDM, upload and run
admincp/local_links_kill.php