Typically, marriage does in fact have these characteristics. But why does marriage have these characteristics? Remembering why will help us to remember how they show themselves in a relationship that has the essence of marriage—and how that is often different in other relationships.
First, human beings have a powerful hankering to engage in sexual intercourse.
Second, sexual intercourse between a man and a woman naturally and frequently leads to children. Male and female alone each have part of a complete reproductive system. Without both parts, reproduction cannot happen. Without the result of children, it would be a real puzzler why we have these organ systems at all, and why we have such a deep urge to engage in sexual acts.
Third, the rearing of children is a lifetime responsibility. As deeply social beings, we remain connected to each other across generations. Even adults with children of their own need the wisdom and guidance of their fathers and mothers. It is easier for those who enter this project that they have affection for each other, and that they form a self-giving friendship. To perform these actions lovingly is the properly human way.
Fourth, because it leads to children, sexual intercourse has extraordinary public consequences. It is not, as we might like to think, a purely private act. It matters a lot to the community who is doing it, and under what circumstances. So the community endorses certain sexual arrangements; others, which fail to abide by the fullness of truth of human sexuality, the community rejects as unfitting for human beings. To support those that are fitting, it offers the institution of marriage. In marriage, the couple promises before the community to fulfill this project through vows of fidelity and permanence, joining their bodies and their lives to make the project work. The community promises to give the couple the privacy to perform their sexual acts, and care for each other; it further supports the family by means of appropriate protections and benefits. It may be that others could receive similar benefits for different reasons, but this is why benefits accrue to marriage: to help the marriage project flourish.
If sexuality did not naturally bring us offspring, it is hard to explain why it exists, whether you believe in a purely material evolution or a loving designer of the universe, for it would serve no purpose. If sexual acts did not naturally lead to offspring, it is just as hard to explain how marriage would have appeared in human history, for it would serve no purpose.
Religions may bless marriage, but they did not invent it. Because it involves such profoundly important human realities, it is no surprise that sex and marriage have religious significance. But sex and marriage have existed as long as there have been human communities.
If we accept the misdefinition of marriage using non-essential characteristics as the complete story, it would be impossible to reject same-sex marriage. Given the whole truth, however, it is impossible to accept it. No matter how superficially similar they are to real marriages, same-sex relationships cannot function as marriages.
This is a good example of the “natural law” approach to moral reasoning. Does it make sense? Is there anything exclusively Roman Catholic about it?