Is there no electromagnetic force between the positively charged nucleus of an atom and the electrons?
Or in other words which forces keep electrons in orbitals and prevent it from flying away or crashing into the nucleus according to modern understanding?
Charge conservation would indeed be violated, which is why this decay is not expected. Dave is mistaken: the half-life they're referring to is an experimental lower-bound, not a actual expected value.
Presumably there is a transformation of charge to energy which is then carried away by the photon, but all of this is beyond my understanding of the theories involved.