Science is nothing more than a systematic and careful use of evidence and logic to evaluate factual claims. And good science possesses certain virtues that are not unique to science but generic to all intellectual endeavors: fairly accounting for all available evidence, using valid and internally consistent logic, using unambiguous concepts and language, proper use of statistics, being quantitatively precise and accurate, and above all being honest.
Yes, science is systematic and internally consistent. It is bound by certain rules. It is not, like integrative medicine, a smorgasbord of diverse ways of getting at the truth.