Removing Featured Link and Profile from Blog page

I am running this theme with a static page and blog page. When I view the blog page it carries over all of the elements from the home page, which I don’t want. I want the header area (the profile) and the featured links to only show on the home page, and not all other pages. How can I make those two areas disappear on the “Blog” page like it does for all of the other static pages?

If you need to see my actual site, please let me know. I’m in “maintenance” mode right now, attempting to hide my trials and errors from the public ??