A rational nation ruled by science would be a terrible idea
newscientist.com
newscientist.com
Aside from making direct democracy such as Swiss-style referenda possible, the most terrifying outcome (to political elites) would be in national defense/offense.
A E van Vogt covered this in 'The World of Null-A': an invading army was confronted with a populace that mobilized instantly, utilizing every available implement that could be used as a weapon, and able to make rational decisions regarding local defense without an overarching leadership.
As for offensive actions: if enough whys had been asked before and during WWI (and countless other conflicts), millions of soldiers would not have needlessly perished.
Developing and cultivating rationality, and super-rationality (as detailed by Douglas Hofstadter), is largely a matter of early education... Schools and teachers could change the world!
I have no fear whatsoever (even though maybe I should) of not having enough to eat. I believe very strongly that if I cut myself on something, the infection won't kill me. I've got every expectation of seeing every child I have live to adulthood. These are incredible achievements.
Abysmal? Science's track record in improving the condition of humans is phenomenal.
On the whole, I think liberal democracies have come up with a relatively good set of moral axioms so applying rationality would be more beneficial than harmful.
You can use science to achieve objectives, but you cannot use science to tell yourself what your objectives should be.