"...then there's the idea that rationalists should be able to (a) solve group coordination problems, (b) care a lot about other people and (c) win..."
Why should rationalists necessarily care a lot about other people? If we are to avoid circular altruism and the nefarious effects of other-optimizing, the best amount of caring might be less than "a lot."
Additionally, caring about other people in the sense of seeking emotional gratification primarily in tribe-like social rituals may be truly inimical to dedicating one's life to theoretical physics, math, or any other far-thinking discipline.
Caring about other people may entail involvement in politics, and local politics can be just as mind-killing as national politics.
Sorry to answer a 5 year old post, but apparently people read these things. You asked "Why should rationalists necessarily care a lot about other people," but all the post said was that they should be able to.
This sequence ran from March to April of 2009 and dealt with the topic of building rationalist communities that could systematically improve on the art, craft, and science of human rationality. This is a highly forward-looking sequence - not so much an immediately complete recipe, as a list of action items and warnings for anyone setting out in the future to build a craft and a community.