The words, "irreconcileable differences" means that there are problems and points of view that CANNOT be resolved. If one or both parties to the marriage will NOT keep the vows or promote working on the differences to a solution, then it might be a good thing to "race to divorce court."
You fail to grasp the meaning of Dr Williams analogy. Half this country wants to control the other half and they have no intention of compromise. Why then cannot the half that wants to be left alone leave? Why must they be forced to submit to the will of the other half? That is a very good case for national divorce.