Principle number 4 of Basic Elements of Islam: Islamic doctrine commands its followers to create a government that supports it. This may be one of the most ingenious ideas in the whole collection. Islam is the only religion that uses it. Other groups of religious people have had political aspirations, but no other major religious group orders its followers — as a religious duty — to create a government that follows its own system of law.
Islam has a system of law, called Sharia, and all Muslims are obligated to continually strive to make their government — wherever they are — follow it. Because of some of the other ideas added to Islam, you will see that this political addition to the idea-collection has significant consequences.
Many people are under the impression that the goal of Islam is to convert everyone to Islam. This is not so. The prime directive of Islam is to bring all people on earth under the rule of Islamic law. Read more about the political nature of the core doctrines of Islam.