I don't know the new BNW wonders at all, but sure those and Theology sound like the right plan.
Hagia Sophia should wait a prophet or two if possible, so that it gives a higher-faith one for free. It does bump the cost counter for subsequent ones.
Production focus is the usual mode for Civ 5. I leave that checked so that each new growth auto-picks a hammer tile for production on the same turn, then manually reassign that to whatever tile is actually wanted. And even if you miss reassigning for a bit, high production tiles aren't the worst option.
Hagia Sophia should wait a prophet or two if possible, so that it gives a higher-faith one for free. It does bump the cost counter for subsequent ones.
Production focus is the usual mode for Civ 5. I leave that checked so that each new growth auto-picks a hammer tile for production on the same turn, then manually reassign that to whatever tile is actually wanted. And even if you miss reassigning for a bit, high production tiles aren't the worst option.