Up to a point I agree with you. In fact, it's one of the biggest arguments against government: do you really want to be under the authority of a non-rational being that is often unable to see what's in his own best interest, let alone yours or mine?
Another problem with your argument is that, in the aggregate, people can be more rational than they are individually. An example of this is the so-called Delphi Effect in which the average opinion of experts is a better predictor than any single expert's opinion.
Now, those are pretty theoretical arguments and have issues, some easy to address and others hard. However, I claim that any social institution or theme that is as widely practiced in space and time as government has a net social benefit. The question is how to tune it to maximize that benefit.