So my question is how significant is the role of religion in the politics of the world today and how good is the effect on societies so far?
Depending how on the mentality of the citizens.
If politicians discover that some of their constituents are influenced by religion, they will use religious distinctions to persuade those who share their faith.
As a result, religion has an influence in politics in general. The problem stems from some of our religious leaders who have sold out their value for money and are constantly attempting to maintain the faith of their followers.