Naturally, the problem with society's attempt to do this is that rationality is not sufficient for the head of NASA to not go against her duty as NASA's head. A utopia of radical individuals free from any ideology or institution hasn't (yet?) been realized. It's probably not a good idea, but it's the central dogma of silicon valley, the blockchain movement, the AGI movement (especially the sentience-heavy ones), much of the modern scientific community, and (as it happens) hacker news. So here we are.
Also, your logic holds that swearing on a Bible is — in the limit — more likely to lead to moral behavior than swearing on Carl Sagan's work. Nobody believes that Carl will punish wrongdoers (he might even reward them for being rational, or face questions on why he's pushing morality on others). However, people do believe that God punishes. So regardless of whether a deity exists, swearing on religious texts is more likely to alter behavior than on Sagan's.