Last month came the news that Josh Duggar, now-former executive director of the Family Research Council’s lobbying arm and eldest son on the TLC reality show “19 Kids and Counting,” had apologized and said he had “acted inexcusably.” As In Touch Weekly magazine put it: “Josh Duggar was investigated for multiple sex offenses — including forcible fondling — against five minors. Some of the alleged offenses investigated were felonies.” Those minors apparently included his sisters. Duggar was around 14 years old when the reported assaults took place.

Last week, The New York Times reported that “J. Dennis Hastert, the former speaker of the House of Representatives, was paying a man to not say publicly that Mr. Hastert had sexually abused him decades ago, according to two people briefed on the evidence uncovered in an F.B.I. investigation into the payments.”

The F.B.I. announced their indictment of Hastert on Thursday, and The Times reported: “The indictment said that in 2010, the man met with Mr. Hastert several times, and that at one of those meetings Mr. Hastert agreed to pay him $3.5 million ‘in order to compensate for and conceal his prior misconduct against’ the man.”

There were quick and clamorous reactions on social media and some mainstream media about the irony and even hypocrisy of these conservative icons being caught in unseemly, counter-their-apparent-convictions circumstances.