Trouble with custom post types and query

Hi all

I’m 90% to where I want to be. The page in question is here:

So far, I’ve queried my custom post type, and have it listing by parent category. I want it to list alphabetically. The problem I’m having is that it is sorting within the parent by child category… So it’s not a fully alphabetical list.

Here is the code I’m using…

<?php

    $args = array(
        'orderby'       => 'name',
		'parent'        => 0,
        'order'         => 'ASC',
        'hide_empty'    => 1,
        'taxonomy'      => 'category', //change this to any taxonomy
    );
    foreach (get_categories($args) as $tax) :
        $args = array(
            'post_type'         => 'dirlisting', //change to your post_type
            'posts_per_page'    => -1,
            'orderby'           => 'name',
            'orderby'           => 'ASC',
            'tax_query' => array(
                array(
                    'taxonomy'  => 'category', //change this to any taxonomy
                    'field'     => 'name',
                    'terms'     => $tax->slug,
					'include_children' => false
                )
            )
        );
        if (get_posts($args)) :
    ?>

        <h2><?php echo $tax->name; ?></h2>
        <ul>
            <?php foreach(get_posts($args) as $p) : ?>
                <li><a href="<?php echo get_permalink($p); ?>"><?php echo $p->post_title; ?></a></li>
            <?php endforeach; ?>
        </ul>
    <?php
        endif;
    endforeach;
?>

Any help would be greatly appreciated. I just want everything in the parent category to be alphabetical, regardless of child.

TIA!