It doesn't fall apart at all and the counter to your argument is of course unknown unknowns exist but that is a tautological argument and it doesn't address what we are talking about here. The existence of unknown unknowns does not invalidate known knowns. If hidden variables existed in Newton’s time, that did not make Newtonian mechanics false. It made it incomplete. And incompleteness is not ignorance.
Your position confuses incompleteness with ignorance. Scientific knowledge does not require omniscience. It requires: 1. Predictive accuracy, 2. Internal consistency, 3. Reproducibility, and 4. Falsifiability. By those standards, we know an extraordinary amount.
Modern physics allows us to: 1. Predict planetary motion centuries in advance using General Relativity; 2. Design GPS systems that require relativistic corrections to function; 3. Build semiconductors using quantum mechanics; 4. Detect gravitational waves exactly as predicted by Einstein; 5. Model stellar evolution and nucleosynthesis with high precision. If we “knew nothing,” these systems would not work.
The real power of what we know is that multiple independent frameworks converge on the same empirical truths: 1. Quantum Mechanics accurately describes subatomic phenomena; 2. General Relativity describes gravity at cosmic scales; 3. The Standard Model predicts particle interactions with extreme precision; 4. Cosmology predicts the Cosmic Microwave Background spectrum before it was measured. When independent models align with experimental data across scales, that is strong evidence of real knowledge. There are known open problems: 1. Quantum gravity; 2. Dark matter; 3. Dark energy; 4. Unification and surely there are unknown open questions too. But having unanswered questions does not erase experimentally validated knowledge. Medicine does not become useless because it cannot cure every disease. Physics does not become ignorance because it lacks a Theory of Everything.
Scientific knowledge is provisional, but that does not make it arbitrary. We do not need to know “everything” to know “a great deal.” Physics has produced a coherent, predictive, experimentally validated model of reality spanning 15 orders of magnitude in scale. That is not ignorance. That is extraordinary knowledge, even if incomplete.
However, if YOU don't have a general grasp on that knowledge then sure, I can see why you hold the position you do but that's your issue, not an issue with what humans know.