this is a guess but try
set no style sheet on container so it is set as a group. then do this
$(function() {
$(".container").draggable();
});
then when you drag the entire container drags as a group including all elements inside.
here is a working example of what i did.
<html>
<head>
<style type="text/css">
#draggable-1,#draggable-2,#draggable-3,#draggable-4,#draggable-5 {
width:100px;
height:100px;
background:red;
margin-bottom:10px;
}
.container {
}
</style>
<script type="text/javascript" src="http://jqueryui.com/latest/jquery-1.3.2.js"></script>
<script type="text/javascript" src="http://jqueryui.com/latest/ui/ui.core.js"></script>
<script type="text/javascript" src="http://jqueryui.com/latest/ui/ui.draggable.js"></script>
<script type="text/javascript">
$(function() {
$(".container").draggable();
});
</script>
</head>
<body>
<div class="container">
<div id="draggable-1"></div>
<div id="draggable-3"></div>
<div id="draggable-4"></div>
<div id="draggable-5"></div>
</div>
</body>
</html>