All models are fundamentally flawed. That's the point in the physics joke that ends "Assume a spherical cow." Is that really so troubling? The whole point in the search for a unified theory is because the models are piecemeal approximations. It's known that both Newtonian physics and Quantum Mechanics are flawed in that they describe a small part of the world, but you can't derive one from the other, whereas you could from derive Newtonian physics, General Relativity, Quantum Mechanics, and the rest of the models in physics from a unified theory.
Classical physics is used in an overwhelming majority of situations in our lives like: houses, buildings, bridges, airplanes, and physical structures, heat engines/motors, etc were all designed based on classical thermodynamics laws. As is radio reception, antennae, TV transmitters, wi-fi signals are all based on the classical electromagnetic description. Whether one calls thermodynamics, electromagenetism or classical gravity, 'flawed' or not, all those things work in the overwhelming majority of given situations.
I would also hope that you can see that the above exam pleswere not accomplished using SR/GR, or QM.
If these things were based on
'flawed, piecemeal approximations', then why do they work so well?
Also, it is not true that classical mechanics, QM and SR/GR's descriptors are piecemeal and unrelated .. eg: QM's rate of change of momentum and classical's, are identical in form. The two are related under the condition that the QM observables have been averaged. SR's addition of relative velocities, is also the same as classical's (ie: under Galilean and Lorentz transformations).
The point of this is that classical physics
works .. so propagating the notion that its
'flawed', is vastly outweighed by everyday evidence.
Classical physics
is derivable from SR and QM, under special conditions that apply to everyday situations.
Mainstream science's view on this is that any theory
must have the ability to show that it merges to the classical description, when applied to an ordinary situation.
This can only be shown mathematically and it is
the mathematical form which then provides the objective demonstration.
The same cannot be shown convincingly, (objectively), via hand-waving or qualitative arguments about the supernatural, consciousness, the existence of some standard of 'perfection', or waffly NDE stories.
The moment we cannot allow ourselves to consider, even for a moment, that the models cannot be flawed, the concept of science dies just a little. It becomes not a method of inquiry, but something that must not be questioned, and that's not how science works. Nor is science the totality of existence, which should be obvious but apparently needs stating. That holds true whether someone believes the supernatural exists or not. Know that something that has come out of science is that the universe is more marvelous than we had imagined, maybe more that we can possibly imagine.
Perhaps this is just a language thing(?), so if you agree, please excuse me for challenging the notion of 'flawed'. I don't recall ever having seen the term 'flawed' in a Physics textbook, applying to classical, SR/GR or QM.
If you agree on the basis of a difference in word meanings, then I think we're mostly in agreement with what, I think, is the gist of what you're saying there, (with the corrections/qualifications I've outlined above).