Possible religion ability

I have this idea of how to strengthen religion. What if a player had a dominant religion in their empire and the religion's founder became the "faith leader"? Being a faith leader would have unique attributes such as:

• Ability to Call a Holy War on other empires
• Other empires had to pay small patronage to faith leaders' empire
• Commission great works to bolster stability among followers of the faith
• Add a pilgrimage function that could siphon population from neighboring empires without a grievance

On the flip side, other players who aren't leaders could maybe do some of the following:

• Leave the religion for a stability hit depending on how many followers they have in their empire.
• Challenge the claim of leadership and start a schism, kind of like the 30 years' war.

These are just some of the ideas I thought could help religion be more fleshed out.