Does it account for the all of the main problems that quantum mechanics seeks to model?
You have suggested that QM's treatment of phenomena at the nuclear level is only valid out to the Bohr radius.
Mills formalism does not replace QM for all problems we like to solve. In all cases where we model dynamic fine structure behavior QM seems to be more adequate.
I said: QM absolutely can't be used below de Broglie radius, what is everything regarding nuclei. QM can also not be use to calculate deep orbits, without including the correct mutual relativistic source terms for the magnet fields.
The error you will see in QM for calculations with higher chemical 2+, 3+ ionization states is huge, because the proper magnetic terms are missing, but in a grid you can work around this.
It is as always: You have to select the proper theory for the work you would like to complete. Or even better: Do it like Tesla and just invent!