Please proceed with this using caution and backup your navbar template before doing it. This will remove the Quick Links menu and submenu's completely for everyone.
Find and remove:
Code:
<if condition="$show['member']">
<td id="usercptools" class="vbmenu_control"><a href="$show[nojs_link]#usercptools">$vbphrase[quick_links]</a> <script type="text/javascript"> vbmenu_register("usercptools"); </script></td>
</if>
Find:
Code:
<!-- / header quick search form -->
</if>
Remove everything below it up to this point:
Code:
<!-- / NAVBAR POPUP MENUS -->