According to Warren Farrell NYTimes is systematic and deliberate in perpetuating misandry. This is coming from a man who was both a founding member in a major feminist organization(N.O.W) and a writer for the NYTimes.
The New York Times isn't the only media organization guilty of this. It is systemic in a lot of Western media outlets, small as well as large. Interesting to hear it pointed out by someone who cannot credibly be acused of being ignorant of gender questions, though.
Something to keep in mind when the blogosphere lights up about how STEM is a "boy's club". It's not that there isn't merit to gender issues in STEM. It's that the dialogue is manufactured by people whose goals aren't egalitarian. If you don't educate yourself in the nuances of gender issues and postmodern powerplays you're going to be the sucker blown full of hot air.
I agree with you to an extent; fathers are often seen as incapable of raising children in American culture. However, do you know if there is any literature or articles/discussion on this? (In particular about how fathers are seen, and more broadly on the misandry.)
There is no such thing as institutional misandry, so no, misandry does not permeate our culture. However, the headline is total click bait, but this is the NYT so no surprise there.