creationists start with the bible but cite science in support of their belief.
atheists embrace evolutionism and likewise claim scientific support.

Nope #2. The first part is partially right, but they also disregard any science that does not support their belief. The second is fundamentally wrong. Scientists do their (fallable) best to start with the data, the whole data and nothing but the data and ask where that leads. Evolution as a theory arises out of the data, not the other way round.

And I repeat: the contrast is not between creationists and atheists. The majority of Christians accept scientific results and are not creationists in the YEC sense.