How to display a plug-in on index.php but not with comments or full story.

I’ve installed the plug-in called “Featured Content Gallery” and activated it. In order to display the plug-in I inserted the following code right before the loop in my index.php so that it would appear on top of my news/updates.
<?php include (ABSPATH . '/wp-content/plugins/featured-content-gallery/gallery.php'); ?>

The problem is that when people click on “add a comment” or when they click on the “read full story” links, the featured content gallery is still there. It’s still sitting above all the content.

Is there any way to only use the featured content gallery on the first, main page? I want for people to be able to pull up the full story and/or comments without still seeing the plug-in.

Edit: http://www.remkingston.co.uk/ is a great example of how I want my layout to function. Featured gallery shows initially but disappears when you click the news/story titles.

Thanks in advance to anyone who can help.