Why is the belief of the Church important in the voting process? Because those Catholics and Christians whose lives are ordered by the belief of the Church bring Jesus Christ and his saving gospel into the public square. That really says it all.
A quote often attributed to St. Francis of Assisi is, “Preach the Gospel at all times, and when necessary use words.” This quote is often used to emphasize the importance and value of living the Gospel life by example. Obviously, we cannot evangelize for Christ if our own lives fail to bear the marks of ardent discipleship.