On the face of it, Paul, that seems like a reasonable idea. One doubt I have about it is that you seem to be trying to force 20th and 21st century ideas into the possibly ill-fitting mould of pre-20th century mathematics.

Newton had to invent calculus in order to develop and express his revolutionary ideas. Might not the same sort of thing be necessary in order to express more modern concepts?

Your suggestion must be tantamount to clinging to a personal mumpsimus and trying to use it as a benchmark for scientific rectitude.

You may counter this by pointing out that you suggest that QM should "...create its own math that is reality based and not depend on any theory that cannot be backed up by standard physics math." If it creates its own math, how does that differ from the current situation?

There never was nothing.