The NYT version is the first one I heard (not that specific article, but the content). I don't watch Fox News so I haven't seen that "side". I did hear an interview or two between some other SEALs who were talking about it. Their take was that if the allegations that he intentionally killed innocent people are true then he should go to jail, but (as I recall) the version they had heard from within the teams was that Gallagher pushed his guys really hard, that some of them really didn't like his leadership style or the fact that he worked to get his platoon involved in missions toward the end of a deployment or something when they wanted to stay safe back at base and were looking for a way to get him.
I just don't know, and I don't trust either NYT or Fox News to tell it straight. All I can hope is that the court-martial gives a just verdict based on good evidence.
I've known a few SEALs, and this just doesn't seem like their style, in terms of sitting things out until they can go home, or making up crap to get someone in trouble because training is too hard/he's a mean leader/etc..
That said, America seeks to claim the high ground in terms of its military and warfighting. We don't carpet bomb villages to take out a small group. We send ground forces in at risk to those troops to minimize collateral damages. We don't take out civilians because they are in the same area as combatants. And, when I was in training as an officer, it was stressed to us. We are the good guys. It is expected. And, it is enforced. Like it or not, it is what it is.