In your footer, find:
HTML Code:
<if condition="$show['quickchooser']">
<td class="tfoot">
<select name="styleid" onchange="switch_id(this, 'style')">
<optgroup label="$vbphrase[quick_style_chooser]">
$quickchooserbits
</optgroup>
</select>
</td>
</if>
And around that, add:
HTML Code:
<if condition="is_member_of($vbulletin->userinfo, x)"></if>
And replace x with the usergroup(s) that you want to allow to change the styles