Before you build a new crop of them, first you should probably make sure society is even listening to its Einsteins and Feynmans, or that the ones you have are even interested in solving these problems. It does no good to create a crop of supergeniuses who aren't interested in solving your problems for you and wouldn't be listened to if they did.
Related Posts: A cynical explanation for why rationalists worry about FAI, A belief propagation graph
Lately I've been pondering the fact that while there are many critics of SIAI and its plan to form a team to build FAI, few of us seem to agree on what SIAI or we should do instead. Here are some of the alternative suggestions offered so far: