Since you're using postbit and not postbit legacy, and your alt classes have borders styled into them that will make those borders show, try just adding the signature inside a fieldset without adding it into a new table cell as well:
Replace:
Code:
$template_hook[postbit_signature_start]
$ad_location[ad_showthread_firstpost_sig]
<if condition="$post['signature']">
<!-- sig -->
<div>
__________________<br />
$post[signature]
</div>
<!-- / sig -->
</if>
$template_hook[postbit_signature_end]
With
Code:
$ad_location[ad_showthread_firstpost_sig]
<if condition="$post['signature']"><br />
<!-- sig -->
<fieldset class="signature">
<legend>Signature</legend>
$post[signature]
</fieldset>
<!-- / sig -->
</if>
$template_hook[postbit_signature_end]
*crosses fingers*