Paganism - Anarchy
Protestantism - Republic
Reformed - Democracy
CRC Catholicism - Socialist Republic
Catholicism - Socialist Dictatorship
Orthodox - Constitutional Monarchy
Hinduism - Absolute Monarchy
Confucianism - Fascism
Buddhism - Theocratic Republic
Sunni Islam - Christian Dictatorship
Shiite Islam - Islamic Dictatorship
Now here is the reason I went with these governments. Keep in mind that the settings of these religions can be changed, all except for the hardcoded settings.. which is what guided my judgement here.
Paganism has the worst effects of any religion, so it is perfect for Anarchy. Anarchy represents a government in turmoil, such as when a government collapses. Nobody gets any BB penalties for annexing Pagans, so it best suits an anarchy, I think.
Protestantism and Reformed, are very closely related to each other (just like republic and democracy). And we want republics and democracys to be close to each other, so these two religions best represent that. Plus they can have royal marriages (we can call those cultural exchanges) with each other, and are hated by CRC (socialist republic) so I think this is accurate.
CRC and Catholicism are closely related to each other also, just like socialist republics/dictatorships. Same reasons as the above, basically.
Orthodox should be constitutional monarchy, because they can have royal marriages with any christian religion (which makes sense with the governments I've arranged).
Hinduism I thought best represented the effects of an Absolute monarchy. They can intermarry with the religious governments, which makes sense when you consider that absolute monarchs often claim their power from a divine being.
Confucianism has bad effects, so it is similar to Fascism. I am not sure about the hardcoded effects of this religion, but I don't think it would be a problem.
Buddhism represents Theocracy a government that is founded on religion, but it is not as tyrannical as fundamentalism.
Sunni and Shiites hate each other, which perfectly represents the animosity between christian fundamentalists and islamic fundamentalists. They also have Cb shields on each other.