They explain their action by saying that "we got tired of the accusations that we are cohabiting together in sin."
Yeah right If you wanted to "get people off your backs," you certainly wouldn't have done anything like what they did! If anything, the accusations will not be greater and more often voiced. They're still shacking up and having sexual relations outside of marriage (and homosexual relations at that), so what did the attempt at getting married accomplish? The same thing as throwing a rock at an anthill, I think. They can stand at a distance and admire how powerful they are. Perhaps that speculation is off, I don't know. In any event, though, this certainly had nothing to do with seeking peace or calm.