My original question was far too long, so I am editing it down to this much smaller version:
The Lorentz force for an electron traveling through a uniform magnetic field with no electric field is $F=q*v*B$.
Is $v$ just the velocity of the electron, or is it the velocity of the electron relative to the magnetic field. To me it seems obvious that it can not be "just the velocity" because this could change for different inertial frames. That would mean different observers would see different accelerations on the electron. Seemingly leading to a contradiction that you could make the electron both hit a wall and not hit a wall depending on which inertial frame you are in.
Consider the following experiment:
We have a space ship with an electron hovering between 2 bar magnets and the whole system is drifting through space at a constant velocity. Will there be a force on the electron, or will there be no force because there is no difference in velocity between the magnets and the electron?