So, I would argue that these evil, misguided interpretations held by the terrorists aren't really Islamic Ideologies. In reality, they seem to be misinterpretations of Islamic Ideology, much like how slavery was defended by Biblical adherents in the 19th century in the US.
But, honestly, I enjoy discussing this because I still don't understand why Muslims feel the need/responsibility to defend Muhammad's image. Isn't God capable of handling this himself? Further, why would Islam expect the rest of the world to see an issue with pictures of Muhammad, when this kind of expectation is not held by other religions?
Let me be clear, I think that it is debatable that the cartoons were inappropriate, but inappropriate things are shown in the media every day. I am just having a hard time understanding why there is so much outrage over this.