Eugene Marshall's very helpful response explains that many different kinds of Gods, or even many Gods, might be compatible with the various different arguments for God's existence. I'd like to add just a minor, other point. If you take the Hebrew bible (or "old testament") very seriously, you might think there is also a biblical basis for rejecting the idea that God is wholly good, and even (depending on what parts you take seriously) that there is more than one god. So, some people might even think that there is a biblical basis for some of these accounts of God(s). Howard Wettstein has a nice essay on the former (I mean on God's not being wholly good), entitled "God's Struggles." Jeanine Diller also has some stuff on this. As for the idea that multiple Gods can be found in the Hebrew Bible, I think that's more of a stretch but I've heard some atheists appeal to that interpretative possibility.
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I often heard atheists argued that even if a God exists, it does not mean it has to be a good or infinite or one God. They are implying that it is possible that there be an evil or finite or many gods. Are these reasonable assumptions or is it the case that God has to be necessarily good, infinite and one?