How to get pages of parent (non-recursive)?

Assuming that, by “HOME_ID”, you are referring to the static Page used to display the Site Front Page, then you want to use get_option( 'front_page' ) to get the ID for this page:

<?php
$menu_wp_query_args = array(
    'post_type' => 'page', 
    'post_parent' => get_option( 'front_page' ), 
    'orderby' => 'menu_order'
);
$new_wp_query = new WP_Query( $new_wp_query_args );
?>