Sort column in a table alphabetically within a ul

Sort column in a table alphabetically within a ul

I am trying to sort a column alphabetically. This column may have an
additional list below it, however, the only factor I am trying to sort by
is in the "main-name" class. My issue comes from targeting only that
specific element, but sorting the entire tr.
Thank you in advance to anyone who could help!
example of my problem: http://jsfiddle.net/kg2NU/1/
<ul class="name-wrap">
<li class="main-name">Michael Johnson</li>
<ul class="aka-list">
<li>Mike</li>
</ul>
</ul>