Display DISQUS on homepage

Hook it in from your child themes functions file or add the template tag to a front-page.php file

Untested

add_action('loop_end','disqus_front_page_after_loop');

function disqus_front_page_after_loop() {

if (is_front_page() && function_exists( 'comments_template' ) ) {

comments_template();

    }
}

Change the loop_end hook to another WordPress or theme specific hook.

If using the template tag, you might want to try adding it before the footer rather than before the end of the loop if it works outside the loop.