Hello,
Thanks for the compliments!
This will require custom coding to do so but here is a start that should head you down the right path. You can wrap HTML with this php code below so it won't show on the homepage.
<?php
$fsmenu = & JSite::getMenu();
if ($fsmenu->getActive() != $fsmenu->getDefault()) {
?>
this area wont show on homepage
<?php } ?>
Regards,