The 2nd problem with AP I have seems like a bug, but it's that you can't look at any advisor screens while the vote interface is open. How many votes do I get? Can my cities handle the defy unhappiness? How many Hindu cities do I even have?
This has to be a bug, I can't imagine that this was intentional. Because of this, you have to just guess how the vote will affect your game, which isn't good design. Easy fix, let me look at advisor screens when voting, similar to how you can look at them when the ai demands from you.