From what I can understand, when you go to the MB fb page, or the Obama fb page, you see posts made by people who are in YOUR friends list. And it is always a posts that has certain words in it like “muslim” or “obama”. Everyone that goes to the MB or Obama pages, will see different posts from what another person that goes there will see. Each person sees only posts by people who they are friends with. But its unclear if the owner of those pages can see them all or not.
That's probably exactly the way it is, but it is still rather alarming to see your name on a page on the internet that is associated with the Muslim Brotherhood.