It also seemed apparent to me that the objects were chosen based on their ability to reveal something unexpected. WWII is fairly well understood by most in the West at this point, at least when compared to some things that were explained in the Sharia credit card episode.
There are several billion Muslims in the world and Islamic beliefs prohibit moneylending for profit -- in other words, the charging of interest. That's something Jesus is depicted as opposing in the Bible, as well, so this is actually a bit of common heritage between Christian and Islamic cultures.
Yet the charging of interest is a practice so deeply ingrained in the Western financial system that we hardly think about it. When we learn that, it certainly makes us think about a few things. So I thought that was actually an excellent episode.
Wars have their own museum in London - the Imperial War Museum - and the computer revolution is somewhat represented in the Science Museum.