Hmm, how would that world look, assuming he had his way? Billions spent on FAI research and cryonics? Mandatory basic rationality training? Legalizing polyamory marriage? Erecting statues of Bayes?
To give a boring answer:
If we are assuming there wouldn't be any other major changes to the political structure (e.g. no bayesian party in congress) then the effect on policy outcomes would be fairly minor. For better or worse the president doesn't have that much direct power, and has to work with a lot of other interested groups.
Also I think people underestimate the domain specific knowledge in politics, there's no reason to believe that being rational would make Eleizer a particularly effective politician any more than a good doctor or lawyer.
The main...
Related to: Voting is like donating thousands of dollars to charity, Does My Vote Matter?
And voting adds legitimacy to it.
Thank you.
#annoyedbymotivatedcognition