[Deviation]

<tbody>
    <tr align="center">
      <td class="alt1Active" colspan="2" align="$stylevar[left]" id="f$forum[forumid]"><table cellpadding="0" cellspacing="0" border="0">
          <tr>
            <td><img src="$stylevar[imgdir_statusicon]/forum_$forum[statusicon].gif" alt="" border="0" /></td>
            <td><img src="$vboptions[cleargifurl]" alt="" width="9" height="1" border="0" /></td>
            <td><div> <a href="forumdisplay.php?$session[sessionurl]f=$forum[forumid]"><strong>$forum[title]</strong></a> <if condition="$show['browsers']"><span class="smallfont">(<phrase 1="$forum[browsers]">$vbphrase[x_viewing]</phrase>)</span></if> </div>
              <if condition="$show['forumdescription']">
              <div class="smallfont">$forum[description]</div>
              </if> <if condition="$show['forumsubscription']">
              <div class="smallfont"><strong><a href="subscription.php?$session[sessionurl]do=removesubscription&amp;f=$forum[forumid]" rel="nofollow">$vbphrase[unsubscribe_from_this_forum]</a></strong></div>
              </if> <if condition="$show['subforums']">
              <div class="smallfont" style="margin-top:$stylevar[cellpadding]px"><strong>$vbphrase[subforums]</strong>: $forum[subforums]</div>
              </if> </td>
          </tr>
        </table>
        <if condition="$forum[sponsor_enabled] == 1 AND $vboptions[sponsor_global_enable_sponsorship] == 1">
        <div style="float:$stylevar[right]"> $vbphrase[sponsored_by] <a href="vB.Sponsors/link.php?f=$forum[forumid]" title="$forum[sponsor_name]" target="_blank"> <if condition="$forum[sponsor_banner_enabled] == 1 AND $vboptions[sponsor_global_enable_banners] == 1"> <img src="$forum[sponsor_banner]" alt="$forum[sponsor_name]" border="0" /> <else /> $forum[sponsor_name] </if> </a></div>
        </if> </td>
...

The part in bold is what's causing it to align left. That's from the style you have installed. You could change it to:

<td class="alt1Active" colspan="2" align="$stylevar[right]" id="f$forum[forumid]">