Dichotomy or duality?

One of the most interesting parts of the Science and Religion article was the illustration describing the relationship between the two. The comparison was made between the dual properties of light as both a particle and wave. Based on what knowledge I have about physics I was interested to see how far the comparison could be taken. Light has characteristics as a wave and a particle that overlap to some extent, but at the same time have contradicting attributes based on the position of observation.

I have always thought that science and religion are inherently separate. Through out history they have clashed. While on one hand people such as Galileo were prosecuted and put under house arrest for teaching ideas that went against the church. On the other hand, many non-christian religions have done had a history of searching for eternal life and as a result stumbled upon numerous chemical properties and ideas.

I honestly have never thought about the idea of having the two overlap. Just a very interesting concept. I would love to take a poll to see how view the extent of the overlap.