It is perhaps worth pointing out that that they are not doing anything "new" in this experiment. It is basically a solid-state version of an experiment that has been done before in analogous systems.
It is very impressive work but the main goal was to demonstrate the "quantumness" of phase qubits, not to test Bell's inequality. If they had found that the inequalities were NOT violated this would have indicated that there was a problem with their system and not with the inequalities since they are so well established and have been tested in many other systems.
It will take a few more years before solid state systems can compete with optics etc when it comes to experiments that test fundamental QM.