You can simply hide the options using CSS. This will add a display:none style to the misc and minor publishing actions on the post.php and post-new.php pages. It checks for a specific post type as well since all post types use these two files.
function hide_publishing_actions(){
$my_post_type="POST_TYPE";
global $post;
if($post->post_type == $my_post_type){
echo '
<style type="text/css">
#misc-publishing-actions,
#minor-publishing-actions{
display:none;
}
</style>
';
}
}
add_action('admin_head-post.php', 'hide_publishing_actions');
add_action('admin_head-post-new.php', 'hide_publishing_actions');