我已经找到了解决问题的方法，通过反复阅读文档，查看源文件，并反复运行同一段代码来检查输出。

This is the solution I came up with, which works just perfectly for my needs:

//  Get a list of all the menus that are part of the site
    $menu_list = wp_get_nav_menus();
    $menu_id = -1;
//  Iterate over all the menus...
    foreach( $menu_list as $menu ) {
    //  ...and find the one you want...
        if( $menu->name === \'Main Menu\' ) {
        //  ...and get it\'s ID.
            $menu_id = $menu->term_id;
        }
    }

//  Delete everything except the Home entry
    $menu_content = wp_get_nav_menu_items( \'Main Menu\' );
    foreach( $menu_content as $menu_item ) {
        if($menu_item->title !== \'Home\') {
            wp_delete_post($menu_item->ID);
        }
    }

   /* OTHER CODE USED FOR BUILDING PAGES, ETC CODE */

   /**
    *   Menu building code
    *
    *   @since 0.4.0pre1
    */
    $menu_data = array(
                        \'menu-item-title\' => ( $menu_text !== \'\' ) ? wp_strip_all_tags( $menu_text ) : wp_strip_all_tags( $page_title ),
                        \'menu-item-object\' => \'page\',
                        \'menu-item-parent-id\' => ( $parent !== \'\' || $parent !== \'none\' ) ? intval( $parent ) : 0,
                        \'menu-item-position\'  => ( $menu_position !== \'\' ) ? ( intval( $menu_position ) === 1 ? 2 : intval( $menu_position ) ): 2,
                        \'menu-item-object-id\' => $post_id,
                        \'menu-item-type\' => \'post_type\',
                        \'menu-item-status\' => \'publish\'
                     );

//  Add this menu item to the existing nav menu if it is set to visible
    if( intval( $menu_visible ) !== false ) {
        wp_update_nav_menu_item( $menu_id, 0, $menu_data );
    }