For very important doors, if your panel has multiple RF inputs using different technologies, you could always have more than one sensor on the same door, which would make it exponentially more difficult. (You did mention signal jamming and not magnetic hacks, there are ways to mitigate that too, have a false located reed switch that should never be closed, and hook it to tamper.)
I think sending the police on a jam detected is a very bad idea, as it might randomly happen if there happens to be RF noise for any reason. (RF is inherently an unreliable medium and usually just used for cost/convenience reasons.)