There are governments ran by Christianity in the same way.
It has nothing to do with any sort "superiority" of Christianity and it's not unique to Islam
Also, calling one religion "superior" is highly ethnocentric
Throughout history and the world, you will find that nations founded on Christian principles (example, the US of course) are the ones with the greatest prosperity and freedom by far. It speaks to the superiority of Christianity as no other religion brings so much freedom, and the greatest freedom of all- freedom from the bondage of sin. In Christ, we have true freedom, as we are free from the curse of death.
That said, the United States is not a Christian nation. Not in its philosophy, what it does, or what it loves. While it has Judeo-Christian roots, the United States we live in today is a pagan nation that follows other gods. The philosophy of the United States as it is today is not compatible with Christianity, but we have the greatest freedom in this country compared to others thanks in part to its roots.
One thing to keep in mind is that there is no such thing as a perfect government on this Earth. All governments are twisted or corrupt in one way or another due to sin. All governments are oppressive. But the United States has fared far better than others, and it's not simply by luck or turns of events.
Christianity is finally superior because it is the only religion that has a risen savior. Christ was the perfect and spotless sacrifice in our place for our sins, and thanks to Him, you are guaranteed eternal life if you trust Him as your personal Lord and Savior. Now that's something to rejoice about!
Ethnicity has nothing to do with the superiority of Christianity. Brothers and Sisters in Christ are one not because they have a specific skin color, but because Christ unites all who follow Him in love.