Showing the IDs is pretty simple, you need to hook onto the table heading and columns for that taxonomy's management page.
I previously discussed this in a support topic here.
First hook onto the taxonomy table heading and add the new heading into the columns array.
function category_id_head( $columns ) {
$columns['term_id'] = __('ID');
return $columns;
}
add_filter( 'manage_edit-category_columns', 'category_id_head' );
Then hook onto the taxonomy table rows and output the term IDs.
function category_id_row( $output, $column, $term_id ){
if( $column != 'term_id')
return $output;
return $term_id;
}
add_filter( 'manage_category_custom_column', 'category_id_row', 10, 3 );
You can of course always use a plugin, but for such a small amount of code that seems a bit silly.