I'm sorry Russ, but you have to get over this wall called
intrinsic. The charge is there because the "current" is moving in a twisted turning path going round and round. Something
has to be moving, otherwise how on earth can we see that magnetic dipole moment? Call it wavefunction if you prefer, but note the references to current in
http://en.wikipedia.org/wiki/Dirac_equation. Whatever you call it, the result is a charged particle. When you move it, the result is "current". Move it back and forth and it's alternating current. An electromagnetic field rises and falls in a sinusoidal fashion. Just as it does when a photon zips past.