From the conclusion of a paper out of the University of Virginia (emphasis added):
This brief provides an array of evidence indicating that religion is an answer to the male problematic—that is, the tendency of fathers to become detached, emotionally or physically, from their children and the mothers of their children. I find that fathers who are religious, and who have partners who are religious, are—on average—more likely to be happily married, to be engaged and affectionate parents, and to get and stay married to the mothers of their children. As a consequence, religious fathers and husbands are much less likely to fall prey to the male problematic of late modernity.
The “male problematic” was defined earlier in the paper:
One of the most important consequences of the family revolution of the last half-century—a revolution marked by dramatic increases in divorce, nonmarital childbearing, and cohabitation—is that ever larger numbers of men are becoming disconnected from family life. From New York to New Orleans, from San Francisco to Seattle, more and more men in the United States are living apart from the children they helped to bring into this world. This growing disconnect between men and families has been aptly called the “male problematic” by University of Chicago theologian Don Browning.
This entry joins others showing positive outcomes associated with faith. Please note the disclaimer there (at the end of the page) regarding how this information should be interpreted.