WP API V2 Help me integrate menu items

I've spent hours trying to figure out how to integrate Wordpress menus into my WP theme using WP API V2: [login to view URL] I feel like there's some simple code I'm missing. I'd like someone to tell me. I know menus are registered as a custom post type, but my current function isn't allowing me to access them: add_action( 'init', 'my_custom_taxonomy_rest_support', 25 ); function my_custom_taxonomy_rest_support() { global $wp_taxonomies; //be sure to set this to the name of your taxonomy! $taxonomy_name = 'nav_menu'; if ( isset( $wp_taxonomies[ $taxonomy_name ] ) ) { $wp_taxonomies[ $taxonomy_name ]->show_in_rest = true; $wp_taxonomies[ $taxonomy_name ]->rest_base = $taxonomy_name; $wp_taxonomies[ $taxonomy_name ]->rest_controller_class = 'WP_REST_Terms_Controller'; } }