“Yup, physics/math types are pretty much already EE’s to some degree...”
Not really. There is about a 25% overlap between physics and EE, but circuit design, RF, etc., are still the realm of the EE. (I hold bachelor’s and graduate degrees in EE, CS and physics)
Maxwell’s equations as we know them are not the ones he described, rather they are the work of Oliver Heaviside who threw out all but 4 of Maxwell’s field equations, converting them to vector equations because field equations, to him, were abominations - from those we learned all we know of the electromagnetic spectrum.
Without Maxwell, both Einstein and Tesla would have remained unknown. Only Tesla tried to explore in a practical way what the original field equations would produce.
No they are not.
I am an EE/CE and they aren’t the same, despite some of the same base classes in the early years.