That isn't science. It's engineering.
Science lays the essential groundwork for engineering.
Science has never established "incontrovertible truth".
Science only ever tells us what is the most likely result, and how reliable and durable that result is (hopefully at least 3 Sigma).
I would agree with most of what you point out here, except that I would state the last differently: science only disproves what isn't true, and leaves us to further refine what hasn't yet been disproved by finding ways to disprove it if possible.
science only disproves what isn't [useful and reliable], and leaves us to further refine what hasn't yet been disproved [unreliable] by finding ways to disprove it if possible.
The pursuit of "truth" is the exclusive domain of logic.