Nice idea. Didn't look stock so I redid it. Use it if you want, works and looks great:
Add Underneath in the same spot instead:
Code:
<tr>
<td class="thead">Search Tags</td>
</tr>
<tr>
<td class="vbmenu_option" title="nohilite">
<form action="tags.php" method="get">
<if condition="$session['sessionhash']">
<input type="hidden" name="s" value="$session[sessionhash]" />
</if>
<div><input type="text" id="tag_input" name="tag" size="25" class="bginput" autocomplete="off" /><input type="submit" class="button" value="$vbphrase[go]" />
</div>
</form>
</td>
</tr>
<tr>
<td class="vbmenu_option">
<div><a href="tags.php$session[sessionurl_q]" accesskey="6" rel="nofollow">View Tag Cloud</a></div>
</td>
</tr>
DEMO (I have a custom navbar, but the search drop down looks default when clicked

)
Not good at plugins, but it'd be a great one.