Army Vs. Police

I keep hearing about the training of the Iraqi military being essential to success in Iraq. If that's true, doesn't it undermine the whole notion of "democracy" in Iraq? If the military is responsible for internal control of the country, well, then, that sounds like a militarized nation to me. Police forces are responsible for internal security, not the military. When the military goes to war internally, you get martial law at best, civil war at worse, and in the middle you have Chile 1973. Call any of those outcomes what you will, just don't call them democracies.