Are these two things mutually exclusive?
Are you not comparing 'apples with oranges' as the saying goes?
I mean, stop and think about it ... Science is a process - period. It is a methodology for looking for repeatable results from a series of experiments and constructing a theory to explain the results ... and retesting. Science is this process.
The theories and ideas that are formed from this process are not science! How can one believe or not believe in a process? It is what it is! Do you perhaps mean that some of the theories that this process generates (e.g. evolution) cannot coexist with a belief in God?
God, on the other hand is an evolving idea that has morphed with the evolution of human thought over generations. When people talk about the clash of science and religion they are misrepresenting the clash (in my opinion). The clash is between some of the theories that the process of science put's forward and the current 'idea' that religion has about the nature of God.
And, as most children will have learned at science class in school, Copernicus put forward a theory that the Sun was the center of the Universe and not Earth ... that the planets circled the Sun ... this was a theory that explained the observations ... science as a process was born ... the theory was testable ... and the idea of God had to morph or change - religion at the time saw this as a heresy - but the process of science is not in question.
Hope this makes some sense for you and any others out there who ask this question.