Hello,
Adding some JS could do it.
This code for now only adds ID's. It needs to be inserted in admin footer, don't know if there's a hook for it.
<script>
$(document).ready(function() {
$('.category_div').each(function() {
var id = $(this).attr('category_id');
var name = $(this).find('.name');
var name_str = name.text();
var html = name_str+' <strong>ID: '+id+'</strong>';
name.html(html);
});
});
</script>
Regards.