The "science-hating religious person" is just a straw man for Dawkins and the like. Most religious people have no problem with science, and see no contradiction between the two. Many of them even are engineers, scientists, and doctors, often some of the most renowned of their fields.
The groups who actually do see a contradiction typically aren't hypocritical at all about it, to the point of not getting blood transfusions even if it means their death, to use the example of the Jehovah's Witnesses.