How to Move the Author Metabox into the “Publish” metabox?

I somewhat suck with admin stuff so test this carefully. I had some issues with users not coming up in dropdown, but it fails with default meta box as well – probably because of my messed up test stack.

add_action( 'admin_menu', 'remove_author_box' );
add_action( 'post_submitbox_misc_actions', 'author_in_publish' );

function remove_author_box() {

    remove_meta_box( 'authordiv', 'post', 'normal' );
}

function author_in_publish() {

    global $post_ID;

    $post = get_post( $post_ID );
    echo '<div class="misc-pub-section">Author: ';
    post_author_meta_box( $post );
    echo '</div>';
}