Mike, I agree with the thrust of your post, but I believe that “belief” is an assessment of a probability based on persuasive but incomplete knowledge, i.e. “it has always been true in the past and there is no reason to believe it will be different in the future.” We believe in the “constancy” of universall laws, but we also believe in the “uncertainty effect” in quantum.
IMO, the Root Meaning of “belief” is placing a high confidence in a probability based on sufficient evidence or prior knowledge, whereas “faith” is an acceptance (unquestioned confidence) in a probability without sufficient prior evidence or knowledge.