I'd rather the people in charge were patient, thoughtful and rational. But it is interesting to consider that a rational person may, under some circumstances, want irrational leadership.

Easy example at the moment, I think it is obvious from game theory that there are situations where a rational actor in the US would order a nuclear strike on Russia. Under such circumstances, I'd rather the person with the power to do so acted irrationally. Following this line of thought, it is reasonable to support extremely religious people with irrational ideals for high office - as long as what they actually do gets a good outcome. Eg, a strong belief in a higher power might sometimes drive the sort of people who are willing to decentralise executive authority amongst the masses.