Sometimes it's the obvious that will kill you.
Newthread editor is a form and you can't have a form inside of a form like you have now.
Just add the <div> sections without the form attributes.
Code:
<vb:if condition="$show['member'] AND $vboptions['enable']">
<div>Select ThreadID To Post:
<select id="threadid" name="threadid" onChange="javascript:get(this.parentNode);">
<option value="0" selected="selected">0</option>
{vb:raw mytest}
</select>
</div>
<div id="threadid"></div>
</vb:if>