Here's how it works for those who don't speak Evangelical: basically it's the same as those shared FB accounts. Guy A and guy B both desire to look at porn, but for whatever reason do not wish to do so. So they set it up so that they can see each others browser history. Sometimes there are more than two people involved, who can all see each others history. It keeps honest people honest, if they say they are not looking at porn.
There are a lot...a LOT...of great reasons to not be happy he is in a position of power, but this isnt one of them.
I also have to say from my perspective , if one were to call themselves sex-positive, but still get their knickers in a twist because of what this guy is doing behind closed doors, then maybe some reflection is in order.
Doing behind closed doors _with his son_?