Atheists, by definition, would reject those concepts; even god concepts that are compatible with a basic definition of atheism, like pantheism. The rebuttal you'll most likely hear is that the re-definition of God is tautological. There is merit to that argument.
HOWEVER, there is a sub-set of atheism, called ignosticism(not to be confused with agnosticism) which would allow for the acknowledgement of certain God concepts that are logically consistent by definition. That is not to say an ignostic, such as myself, would start believing in God, only that we would acknowledge that the concept as defined is a valid one.
<edit>@WellTraveledProg - I disagree. It seems as though it's a fine colloquial definition, if not a technically correct one. In the popular imagination of the uninformed public at large, I'm sure that most people do, erroneously, think that atheism is the rejection of a personal, anthropomorphic, religious God. The God of monotheism, if you will.