Thats not a opinion. Its stated, defined and practiced by each field of knowledge. You should call all the philosophy, science, and mathematics department and advise them that your opinion is that they are interchangeable, definitions should be changed, they should not remain separate and faith and belief should run the show. Get back to me when you have a response from them.
Bosh. Even you yourself used a mathematical principal, namely enumeration, in spelling out how many types of knowlege you believe exist. Mathematics do not exist in a vacuum, but are generally incorporated into the greater body of knowledge. The mathematical sciences are considered to be more precise than sciences such as psychology. Each discipline enjoys a different degree of certitude. Pronouncements for or against intelligent design denote a shaping principal that stems from both inductive and deductive reasoning and should not be considered the final word from a human standpoint. At the same time, it is folly to employ the law as if such pronouncements ought be illegal in a public, academic context; as if science can box itself into a vacuum void of all speculation.