Magnetic fields and electic fields are actually the same thing just in different frames of reference, so they must have the same mediating particle. I might even be kind enough to provide the derivation but its probably on wiki, so ill only be accused of copying it
They are not the same thing, they are different parts of a unified reality. If you use the language of field theory, force has little meaning. When we discuss fundamental interactions, one uses the concept of an action. There is an action for a charged particle in an electromagnetic field and there is an action for the field itself. The action contains information about the dynamics of the EM field and the particle field (in Quantum Field Theory, everything is assigned a particular kind of field).
So, saying magnets emit virtual photons is completely bogus.
im a bit busy now but ill write out the derivation later. Stop thing about Feynamn diagrams and just start thinking about how an electron going at high speed would see electric and magnetic fields from the lab frame, its actually fairly intuitive. Also please at least check wiki before calling me wrong. This is esentially what I will derive if i cba,
-----------
Mathematically speaking, magnetic fields and electric fields are convertible with relative motion as a four vector.
--------------------- (wiki)