Huh. This is a tough one.
So with the question of political influence with religion, I am of two minds. On one hand, the State having power over and influencing religious politics and beliefs has a very spotty track record. The most extreme case would be North Korea, whose leadership is basically worshiped, and King Henry VIII, who basically used his power to Mary, divorce, and annul any marriage as he wished. Politics in Religion gets very messy and usually leads to corruption, fanatics in positions of power abusing their authority, and generally doesn't end well.
On the other hand, a complete separation of church and state with no oversight is... ill advised. A State that has no control over a religion or organization can't exac make them play nice. So, in conclusion for first option:
[X] State Influence: While you don't really like the idea of the government having direct control over religious institutions, it's clear that there needs to be some kind of authority to prevent sectarian conflict between the different faiths that exist within your Empire. As such, while you shan't have full control over the various religious institutions, you will exert some influence and control whenever it becomes necessary to do so, using your authority as Emperor.
Right, that wasn't so bad, what's nex-
"Reads choices"
Ah shit.
Um. Well. I guess I knew that this would happen eventually.
'30 minutes of self-debate later'
[X] Do nothing about the Imperial Cult
I'll give my reasons if asked for it, but otherwise... Yeah.