The reason that the force is said to be much stronger than gravity is (as a comparison of basic units) each particle has MUCH more charge than it has mass.
You won't be significantly affected by an electromagnet (a few of your particles may change spin states, that kind of thing), because, except for ions, it all cancel's out over long distances, because you have a net charge of 0 (equal numbers of protons and electrons) in the same approximate space. This is why gravity actually operates over large distances, whilst EM doesn't; there isn't any antimass. (Well, ish)