Enable tabs in the edit screen and manage them from the back-end.
At this moment the title and submit box are always visible. You can change this by using the following filters: * tabify_default_metaboxes - $defaults, $post_type * tabify_default_metaboxes_$post_type - $defaults
Yes, you can use the filter 'tabify_tab_location' and passing the value 'after_title' to it. You can also check on the second argument what the location is. Now always 'posttype'
Yes, it can work with those plugins trough a filter. Their plugins using weird auto load magic or have extra checks that will not be run on our settings page.
add_filter( 'tabify_plugin_support', '__return_true' );
At this moment new metaboxes are places on the last tab. You can go to the settings screen to reorder the metabox. You can change which tab it should go like with meta boxes that don't show up like Types or WordPress SEO. You do this with the filter 'tabify_unattached_metaboxes_index'.