Yes, there is the fluid component, but in addition to that, there are the bits coming from electromagnetics. Arising from Maxwell's "a moving charge creates a magnetic field..." and "a force is induced on a charge moving through a magnetic field "etc.
Is that really inherently different, or just a more complex manifestation of the same basic principles?
I.e. Atoms repel each other because of their magnetic fields, and depending on their polarity and spin in the aggregate they can produce bigger and more complex magnetic fields, such as the ones analyzed by magnetohydrodynamics.
Yes there is. Magnetohydrodynamics are more complex than hydrodynamics because of the electromagnetic effects.
https://en.wikipedia.org/wiki/Magnetohydrodynamics
Yes, there is the fluid component, but in addition to that, there are the bits coming from electromagnetics. Arising from Maxwell's "a moving charge creates a magnetic field..." and "a force is induced on a charge moving through a magnetic field "etc.