Right, but this is just the cabinet going boom, and not the entire bureaucracy. It's not like a US government shutdown, it usually just means they have to elect another Prime Minister and install a new Cabinet. It seems to happen rather a lot in parliamentary systems.
Like Iraq or Yugoslavia, Belgium is a multinational state whose identity and borders were imposed upon it from outside by the rulers of foreign powers. The internal consensus that held together was never strong, and that consensus has broken down pretty much completely over the past few years.
The current crisis transcends the failure of government that often takes place in a parliamentary democracy (look for example at Italy). This is more on a par with the breakup of Yugoslavia, although hopefully nowhere near as violent.
It's a vexing situation: there seems to be no good way of drawing lines for an orderly breakup that does not leave minority populations out in the cold. This has the potential for getting even uglier than it is now.