A few years ago I started spelling god with a little g instead of the traditional "God" with a capital G. I was inspired by Christopher Hitches who spelled god with a little g in his book god is Not Great: How Religion Poisons Everything, which even used the lower case g on its cover. "I don't capitalize my concepts," Hitch wrote.
Like Hitch, I never really thought of "God" as a proper name, but more like a noun, like "man" or "lion." It always seemed to be more of a type of being. That's why I don't like capitalizing the word "god." However, when I refer to a specific god by name, like Yahweh, or Mazda, or Odin, or Zeus, I will capitalize it as I capitalize all names.
Speaking of capitalizing the names of gods, it reminds me of that one god who did sign his name with a capital G: