Have you done this? A lofty goal.
We have a tradition of paying more attention to international affairs in this here parts (Europe at large) -- and being quite more mindful of geography and history in general. With the US the only international affairs that people talk about is mainly the current enemy du jour or philanthropic cause. And it's not like they know a lot of the background of those things (or even basic elements of them) when asked.
Not to mention we are actually learning/speaking foreign languages and even reading foreign movies and media (the people at large: not e.g. some art-cinema watching hipsters).
A European online would read US media AND his country's media. And often of 1-2 other countries where he shares a language or speaks their language. An American? Not so much from everything I've seen and read.
This is also very true in Asia. If you turn on a TV where I am, there are channels from all over in many languages. There are the big US news networks, BBC, RT, France 24, other news networks from China, Japan, Singapore, Vietnam, etc. We get cheesy Indian and Thai dramas and horrible 80s cop movies from China that are remarkably similar to horrible 80s cop movies from the US. The last time I watched TV here (I don't own one) I saw an interview with Slavoj Žižek on a European network.
I am of the same mind as you that US citizens would benefit tremendously from exposure to more outside media.