People are forgetting the real problem with these "contradictions". If atheists were arguing against one position, then the statements would indeed by contradictory. However, atheism is a disbelief in *all* gods. Ergo, atheist arguments will differ depending on the sort of God we are talking about.
As tavarish said, context is very important. Take the first two examples. I wouldn't expect any atheist to use Argument A against the Christian God; it would be rather silly, given that the reason for the Christian God caring about humanity is set out in the Bible. In that religion, he created humans as his "chosen people". Argument A is more suited to people claiming a more relaxed version of theism (a souped up version of deism would do). Likewise, Argument B I would expect atheists to use against Christians, since it exposes one of the weaknesses (in the atheist view) of the religion; the fact that despite God being all loving and all powerful, he can't remove "evil" from the world.
So, context is important. Even if you were to find an example of an atheist using both those arguments in the same context (against the same God), you wouldn't prove anything. One atheist doesn't speak for the rest of us. There isn't an atheist doctrine; some atheists may use the arguments you listed, some might use a fraction, some might use none of them at all.
As tavarish said, context is very important. Take the first two examples. I wouldn't expect any atheist to use Argument A against the Christian God; it would be rather silly, given that the reason for the Christian God caring about humanity is set out in the Bible. In that religion, he created humans as his "chosen people". Argument A is more suited to people claiming a more relaxed version of theism (a souped up version of deism would do). Likewise, Argument B I would expect atheists to use against Christians, since it exposes one of the weaknesses (in the atheist view) of the religion; the fact that despite God being all loving and all powerful, he can't remove "evil" from the world.
So, context is important. Even if you were to find an example of an atheist using both those arguments in the same context (against the same God), you wouldn't prove anything. One atheist doesn't speak for the rest of us. There isn't an atheist doctrine; some atheists may use the arguments you listed, some might use a fraction, some might use none of them at all.