If society were rightly ordered, and ruled by Catholic philosopher-kings, with hosts of courtiers and counselors whose task is to advise the king wisely, the masses of people would not have to worry about questions of government or polity, and could go about their business in both the spiritual and the secular realms, according to their particular gifts. Sadly, we're far removed from that, and we have to roll up our sleeves and engage in the often-unpleasant task of running things ourselves. That includes politics.
As Charles Coulombe once put it (I'm paraphrasing), I'd rather be ruled by a king who fears for his salvation if he doesn't govern me properly, than to be led by secular masters for whom I'm nothing more than a cow to be milked.