Fortunately, immunity is being recognised as being important, although it has been said that it will be several years before all civil aircraft reach an immunity level of 20Volts/metre. The International Electrotechnical Committee recommend an immunity level of 3V/m for domestic and light industrial environments: 10V/m is used for maritime electronics. Domestic radio and TV sets only need to meet 1.8V/m, while normal telephone manufacturers have been pressing for no limits at all on telephones! Tough for anyone living near a broadcast station. many years ago now, the microphones in the telephones at Manchester airport were replaced by the then new 'electret' ones: the result was that everyone telephoning had a strong background of Manchester ATC! So much for the telephone manufacturers arguments!
Radiation is another matter: even without cell phones, the current proposals on Power Line Telecommunications, connecting your computer via the power network are likely to mean that a lot of HF radio becomes unuseable. Because of the number of radiators involved, that's quite likely to mean that HF from mid Atlantic won't make it - hopefully, all aircraft will be using (more expensive) satellite comms by then........