If you goto Admin > Styles & Templates > Style Manager > Edit Templates > Navigation / Breadcrumb Templates > navbar
Then find and remove the follow (all of it)
<vb:if condition="!$vboptions['selectednavtab'] AND THIS_SCRIPT == 'search'">
<vb:if condition="$show['member']">
<li class="selected"><a class="navtab" href="search.php?{vb:raw session.sessionurl}do=getnew&contenttype=vBForum_P ost" accesskey="2">{vb:rawphrase getnew_tab}</a>
<ul class="floatcontainer">
<li><a href="search.php?{vb:raw session.sessionurl}do=getnew&contenttype=vBForum_P ost">{vb:rawphrase new_posts_nav}</a></li>
<li><a href="search.php?{vb:raw session.sessionurl}do=getnew&contenttype=vBForum_S ocialGroupMessage">{vb:rawphrase new_group_messages_nav}</a></li>
<li><a href="search.php?{vb:raw session.sessionurl}do=getnew&contenttype=vBForum_E vent">{vb:rawphrase new_events_nav}</a></li>
{vb:raw template_hook.navbar_getnew_menu}
<li><a href="forumdisplay.php?{vb:raw session.sessionurl}do=markread">{vb:rawphrase mark_forums_read}</a></li>
</ul>
</li>
<vb:else />
<li class="selected"><a class="navtab" href="search.php?{vb:raw session.sessionurl}do=getdaily&contenttype=vBForum _Post" accesskey="2">{vb:rawphrase getnew_tab}</a>
<ul class="floatcontainer">
<li><a href="search.php?{vb:raw session.sessionurl}do=getdaily&contenttype=vBForum _Post">{vb:rawphrase todays_posts}</a></li>
<li><a href="search.php?{vb:raw session.sessionurl}do=getdaily&contenttype=vBForum _SocialGroupMessage">{vb:rawphrase daily_group_message}</a></li>
<li><a href="search.php?{vb:raw session.sessionurl}do=getdaily&contenttype=vBForum _Event">{vb:rawphrase daily_events}</a></li>
{vb:raw template_hook.navbar_getdaily_menu}
<li><a href="forumdisplay.php?{vb:raw session.sessionurl}do=markread">{vb:rawphrase mark_forums_read}</a></li>
</ul>
</li>
</vb:if>
<vb:elseif condition="$show['member']" />
<li><a class="navtab" href="search.php?{vb:raw session.sessionurl}do=getnew&contenttype=vBForum_P ost" accesskey="2">{vb:rawphrase getnew_tab}</a></li>
<vb:else />
<li><a class="navtab" href="search.php?{vb:raw session.sessionurl}do=getdaily&contenttype=vBForum _Post" accesskey="2">{vb:rawphrase getnew_tab}</a></li>
</vb:if>
I've got mine fairly modified, but I think this is all that you need to do... if it doesn't work 100% let me know and I'll find any other changes you may need to make.