Welcome to the Official Redemption® Message Board!
P.S. This sentence took me five minutes to type and my hands are cramping now.
If it is a situation where both players try to play their dominant as soon as the lost soul was drawn, then the person that drew the lost soul would get the initiative for their dominant's special abilities to take effect. So in the given situation Burial would trump Son of God and take effect first. I base this on the fact that the player that drew the lost soul is the person that provided a legal target, triggering Burial and SoG ability.