The fundamental link between conservatives is the shared Judeo-Christian morality that underpins their politics...I am not sure you truly can be a conservative atheist. That is not to say that you cannot be on the right side of politics, but just that you cannot be truly a conservative.
I don't believe that atheism and Judeo-Christian morality are mutually exclusive...just the authority for that morality is.
Without getting into a discussion on the meaning of "conservatism."