Maybe you can use something like this:
First you define a custom sorting type for your column for example "SongTitle". With datatables you can define new sorting type by specifying the comparison function:
$.fn.dataTableExt.oSort['SongTitle-asc'] = function(a,b) {
// Modify your title a and your title b by putting "The" in the end
// Return 1 if a > b
// Return -1 if a < b
// Return 0 if a == b
}
Remember to define the opposite function (this was for Ascending "asc" order)
$.fn.dataTableExt.oSort['SongTitle-desc'] = function(a,b) {
return -1 * $.fn.dataTableExt.oSort['SongTitle-asc'](a,b);
}
Now to tell DataTables to use your sorting you pass the new value to aoColumns
"aoColumns": [
{ "sType": "SongTitle" }, // Title
{ "sType": "html" } // for the next column
],