andrewwinkler Hi. This is how it should be working. on mobile saving space and grouping buttons is a good practice. It's extreamly hard to extract this button from the desktop menu, but if You need it try attache this script to bottom of template's js file:
$('#t3-community-toolbar .visible-xs').append('<li><a class="dropdown-toggle" href="javascript:" title="Log out" onclick="document.communitylogout3.submit();"><span class="glyphicon glyphicon-off"></span></a></li>');