Actually, it is science. As has been posted here many times, assuming a supreme deity is not a very scientific proposition. Science must assume naturalistic explanations or it crosses into other disciplines. End of story.
True scientists believe that science is the pursuit of the truth, not just the pursuit of naturalistic explanation. Failing to admit this leads some to a pseudo-science like evolutionism. It is especially ironic when those who believe that science is the pursuit of naturalistic explanations rather than pursuit of the truth make the argument: "Science shows us that everything has a naturalistic explanation!" And they act as if it surprising that they have found all that they are willing to look for or see. There are none so blind as those who will not see, as they say. They had already defined science to show what they wanted to see a priori to actually practicing science.
Your response is quite a ramble. Other than the initial statement, you aren't making much of a point. Science certainly can never be a pursuit of THE truth, only a form of the truth. There is no such thing as an exact science, after all, all colloquialisms aside.