In this case, science can follow its own methods, but if it is used as the whole, 100% explanation then Catholics, at least, must point out it is not the whole answer. It cannot be. Since it claims it must operate without considering the supernatural, I’m fine with that.
Science can only give us part of our knowledge base, never 100%.
Science doesn’t tell us (and never claims) to give us knowledge on values, morals, beauty, the arts, purpose and meaning of life, love, happiness etc, etc. If you try to explain those things with science, then you get to “scientism”.
I also think that the ultimate existence of space, time, matter and energy is unexplainable, although Lawrence Krauss and other cosmologists try to convince us about “a universe from nothing”.
And, of course, science will never have anything to say about what’s beyond our natural world. Atheist will tell you that there is nothing beyond the physical world, but they can never use science to prove that. Many try to, and can be very persuasive (that’s where your propaganda comes in). They rely on people’s ignorance about the limits of science.
When I say science, I refer to the “hard” sciences: physics, chemistry, biology, geology etc. The “soft” sciences are somewhat different. In psychology, for example, you describe human behavior and its causes and I see that as quite different to, say causes in physics.
When people insist it’s a “fact” then it becomes the whole, sufficient explanation, but that shows it is flawed and incomplete. God was a direct causal agent. Purely naturalistic explanations are insufficient.
In theory, science can never give us “facts”, because the knowledge it gives us is based on induction. Induction can never lead to “absolute truth”. That’s what a philosopher will tell you. But in normal life we have facts. For example, things are made out of atoms. We can call this a fact. There is such an overwhelming amount of evidence for that, that it becomes “intellectually dishonest” to question that (here comes again the phrase you dislike).
Yes, I also believe that God is the ultimate causal agent. Science has nothing to say about that. And that’s not a failure or shortcoming of science.
I am still scratching my head thinking about your connection between evolution, advertising, selling and propaganda?! I remember hearing about Richard Dawkins running an advertisement campaign on London buses. Is that what you mean?