Should their view or the view of one of them ever rule the day without question?
Since no human is infallible, no, the opinion of a Father should never rule the day 'without question'. But what the Fathers are are individuals who showed the fruit of their understanding in their personal sanctity and whose opinion has been found generally trustworthy over generations of the Church's life. So when you find yourself in disagreement with a Father, we follow a hermeneutic of humility in which ones presumes the Father probably knows better. Don't assume he's correct--but assume it's more likely he's correct than that you are. Review your understanding and your own presuppositions which are leading you to a position in contradiction to a saint. Go and check other Fathers. The more Fathers you find that agree with each other and disagree with you, the more likely it is that you are the one making the mistake. And maybe one of the other Fathers will explain the 'Patristic' position in a way that helps you understand what you were missing the first time around.
Alternatively, perhaps you will find disagreement among the Fathers (although this is rarer than some people seem to think). In that case there are some additional guidelines (older Fathers and Fathers recognized as 'theologians' or 'pillars of Orthodoxy', etc carry more weight--no matter how many 19th century saints you line up in agreement with you, if you are all in disagreement with St. Athanasius, your probably all wrong). Sometime that means the point simply is not that important and its fine to for everyone to hold their personal opinion. Sometime in studying the supposed disagreement you'll come to understand the issue better and realize there's not an actual disagreement but simply different perspectives on the same thing.