OP is quasi-correct.
Science, by definition, is an analytical tool which is based on constant questioning and testing with the goal of disproving proposals (too lazy to reserach the plural of hypothesis...) As with any tool, it has a limited scope of applicability.
It is impossible to ultimately prove or disprove anything without complete, ultimate knowledge of all that was, is, and will ever be. Given that is impossible, science is properly viewed as a constantly fluctuating qualifier component of probability.
The word "science" is frequently misused as a dogmatic bludgeon, most obvious lately by the political left's AGW dogma; "settled science." Science is outside the realm of personal opinion.
It is impossible to definitively prove the existence or non-existence of the ultimate diety unless situations change (return of Christ, for example.) As science developed, many physical relationships of matter were codified, true. As scientific knowledge advances, the perceive probability of life on Earth spontaneously occurring has diminished greatly
The real issue is the human propensity for dogma. People who demand Darwinist macro evolution theory is fact and religious cults are similar. They both selectively choose which "facts" they will accept and which they will disregard. Evolution is not a fact, it is a theory. Just a Piltdown Man was a fraud, so are many of the claims used to promote evolution. In this case, I mean MACRO evolution. Charles Darwin was very clear about this weakness of his theory and gave examples which disqualified the theory. The dogmatic way in which proponents of macro evolution demand this old theory is ultimate truth betray themselves as acting with complete disregard for science. Scientific discovery did not stop 150 years ago. What seemed plausible then, is now rendered nearly impossible with current knowledge.
As an example from the Christian realm, the Bible includes what appear to be mutually exclusive direct instructions from God to both test all things and not to doubt God.
If there is a God, you'll know at some point...or you won't.
If there is not a God, you'll never know.