As for the UK, here is a chart showing that both divorce and marriage rates are declining.

The issue is that the Wolfers article is both using bad data and failing to adjust to age-cohort effects of an aging population.

Professor Steven Ruggles of the University of Minnesota has likewise refuted Miller’s claim that the public’s understanding has failed to keep up with what she asserts is settled science on divorce rates:

The article recycles old research based on bad data. As Sheela Kennedy and I demonstrated in our recent article “Breaking Up is Hard to Count: The Rise of Divorce in the United States, 1980-2010” Demography (2014), the much-vaunted decline in divorce is an artifact of bad data and poor measurement. As we show, the only reliable data on current U.S. divorce rates derive from the American Community Survey (ACS). Controlling for the aging of the married population, the ACS data reveal a continuing and dramatic increase in the risk of divorce since 1990. The rise of divorce is especially striking among older adults: among those aged 55 to 64, the divorce rate has quadrupled over the past three decades.

The Miller article appears to be based mainly on a working paper by Betsy Stevenson and Justin Wolfers that first appeared in 2007 and then was published in an obscure British volume of collected essays in 2011. Wolfers is a contributor to the Upshot, but I don’t believe Miller actually interviewed him. I know he is well aware of more recent research based on new data, and I very much doubt that he would endorse the premise of the Miller article.