I personally don't have an issue with making game stats for deities, RL or otherwise. I mean have fictionalized version of God and the Devil in movies and literature all the time. We all accept that those accounts are not an indictment of the religions they are based on. We should be able to the same for a game version.It's sort of like writing up the Norse God's and assigning them all to Chaotic Evil because they are Pagans.
Though you make a compelling case for not using real world deities.