For those who pay attention to such things, this is old news. For commentary more interesting than anything in the NYT article, go here, here, here, here, here, here, here, here, here, here, here, and here.
Note that while the NYT article purports to be abou religious universities generally, aside from a reference to Mercer University, its really about Catholic universities and mostly about Notre Dame.
I cant really improve upon the commentary offered by NDs friends and lovers, but I will note the following. Theres a difference between activism and advocacy, on the one hand, and teaching and inquiry, on the other. It is, or ought to be, possible to engage with the "message" of The Vagina Monologues, to hear the voices it expresses, without seconding or supporting its activism and advocacy. Defending the academic study of this play is one thing; endorsing its message and providing an arena or audience for its advocacy and activism is another.