If President Obama wants to reduce income inequality, he should focus less on redistributing income and more on fighting a major cause of modern poverty: the breakdown of the family.The headline statistics he quoted is probably true. " In families headed by married couples, the poverty level in 2012 was just 7.5%. Those with a single mother: 33.9%." (I have not fact checked.)
Correlation does not equal causality, especially when we have some many confounding factors, such as racial and education, which was mentioned in the article.
It is harder to maintain a family in poverty; poor families are more likely to have parents in jail (whichever direction of causality that is); the cost of wealthier families to get divorce is much higher; the list goes on and on.
Single parent families face far more challenges than married ones. That is certainly true, but I don't know whether it is the cause of the wide-spread poverty problem or just a unfortunate consequences which drags one more generation further down. The solution is less obvious, and even less when we think about the government's role in this. Beyond the suggestion in the headline, I cannot find any specific ways that would persuade couples to stay in marriage. Conservatives suddenly want government to teach us how to conduct our family business? Or maybe the former sectary of press has invested in marriage counselling business?