So, as far as I understand Bai's live forever lamp would be able to kill Dracula. It makes a lamp around you with your existence being the candle that is being burned. If you destroy or escape the lamp, the entire world is filled with smaller lamp and you keep burning. If you destroy all of those lamps, the world they are on itself becomes the lamp. And if you destroy that, the fire is out out, and since your existence was your fire you become one with the void. So... erased pretty much no matter what.
He would ressurect, but e century later, so still a win for Bai. I could swear that in one of the games he also dies from sunlight... but I guess that was retconned since it's not on his profile.
His Mid-Godly comes from the evil and chaos of humanity, which I am 99% sure Bai would destroy since people far weaker were afraid to use their power in the solar system, and him using his full power tore a world far larger than the solar system apart. Not sure how that would affect him.
Power of Dominance is useless against Bai.
Again, for Power of Chaos, humanity would most likely be destroyed the moment Bai stops holding his power back, which would be instantly due to him feeling how powerful Dracula is.
Bai has several layers of resistance against most of the things Dracula can do (all of his passive stuff, anyways), and honestly... from every game I can remember, once faced with an enemy he doesn't just insta-hax as fast as possible. I am almost sure he would throw his fireballs and such, Bai would freak out, and just throw out any ability he can.
So, for now, Bai by killing humanity and/or live forever lamp.