You are looking at the HTML representation of the XML format.
HTML is good for debugging, but is unsuitable for application use.
Specify the format parameter to change the output format.
To see the non HTML representation of the XML format, set format=xml.
See the complete documentation, or API help for more information.
<?xml version="1.0"?>
<api>
  <query-continue>
    <allredirects arcontinue="c:museums:user:ThT" />
  </query-continue>
  <query>
    <allredirects>
      <r ns="0" title="Burlington County Historical Society" />
      <r ns="0" title="Great Britain" />
      <r ns="0" title="International Quilt Collections" />
      <r ns="0" title="Louisiana Regional Folklife Program" />
      <r ns="0" title="Michigan State University Museum" />
      <r ns="0" title="Museum of Welsh Life at St. Fagan&#039;s" />
      <r ns="0" title="Museums, Libraries, Archives, Historical Societies" />
      <r ns="0" title="Quilt Documentation Projects" />
      <r ns="0" title="United Kingdom" />
      <r ns="0" title="Winedale Quilt Collection" />
    </allredirects>
  </query>
</api>