They do.
> Do they see science is subject to reason
Yes, the scientific method is a specific kind of probabilistic reasoning that works remarkably well in practice: you make a guess about how the world works, you design an experiment, and either reject the theory or not. You can only reject a theory, but never confirm it with absolute certainty. Theories that disagree with experiment are rubbish. Theories that pass the test of many experiments are believed to be true only with very high probability. Theories that can't be tested are outside the realm of science.