Custom Author List Order?

I am trying to create a list of authors that can have the disply order customized.

I started off by adding a custom usermeta data to the profile using:

// Set Order
add_action( 'show_user_profile', 'include_user' );
add_action( 'edit_user_profile', 'include_user' );

function include_user( $user ) {
$order = get_the_author_meta ( 'showorder', $user->ID);
<h3>Display Order</h3>
Type in the position this author should be listed:
<input type="text" name="showorder" value="<?php echo esc_attr( get_the_author_meta( 'showorder', $user->ID ) ); ?>" class="regular-text" />
<? }

add_action( 'personal_options_update', 'my_save_extra_profile_fields' );
add_action( 'edit_user_profile_update', 'my_save_extra_profile_fields' );

function my_save_extra_profile_fields( $user_id ) {
	if ( !current_user_can( 'edit_user', $user_id ) )
		return false;
update_usermeta( $user_id, 'showorder', $_POST['showorder'] );
}

I’m using the following code to grab the registered users:

[Code moderated as per the Forum Rules. The maximum number of lines of code that you can post in these forums is ten lines. Please use the pastebin]

Is it possible to sort the $authors[] array based on the ‘showorder’ usermeta?

Thanks much.