AITAH For indirectly telling my brother in law to shut the hell up?

He’s just so loud, arrogant, and the type of person that will be contradictory just to get a reaction out of people. It’s always about him and anywhere he goes he has to tell everyone about his life, never asks about anyone else’s. I guess I kind a just see through the BS and it seems like he is a narcissist constantly needing validation.

My BIL went through a really nasty divorce. BILs ex-wife is really a mirror image of him. Through the court proceedings he managed to get 50-50 custody and only pay 250 dollars a month in child support for 3 kids. Both parents are really just terrible to their kids, they yell at them constantly. So mostly I just really feel sorry for the kids and how they treat them like little pawns to get at each other.

A while before all of this my BIL had his "come to Jesus" moment where he joined a Christian church and every weekend he has his kids he leaves them with my In laws on Saturdays while he’s gone for 7-8 hours doing his church stuff. He’ll come back to our house and tell my in laws about how someone else said he was so spiritual. \*Eye rolls\*. Sometimes his job requires him be out of town 2 weeks in a row. So to make up for his absence, my retired father in law agreed to watch his kids while he was gone. BIL will come back from his work trips and then dump his kids on us and go to his church meetings. (my mother and father in law share a house with us) Additionally he met a women online that lives across the country that is the same religion as him and he’s hinted at leaving his kids here to be with her. I’ve kept my mouth shut for most of the time because I just don’t want to be involved.

Well, now to the meat and potatoes. He came over the other night with his kids, one of his sons started doing something annoying. BIL started yelling at his son about how he never listens. They went back and forth until both their voices got to the point I was getting uncomfortable. I’m very introverted but I finally just said, "BIL KNOCK IT OFF, NOT IN MY HOUSE." He went dead silent and said, "What?" I said, "You heard me, not in my house."

He went really quiet and didn’t say another word, we had dinner, (I helped his crying son get dinner) and I could hear him say something like, "I don’t have to put up with this shit." But GOD was it nice having him shut up for once. I quietly ate, talked with my other FIL and MIL. I took our dog out and when I got back in BIL was gone, my wife asked why I yelled at her brother, and he’s super mad that I disrupted his "parenting." I said I didn’t care, and that he could be mad all he wanted, I couldn’t respect him less. His kids have been through enough they don’t need that in our house. I know it’s been hard for him but he’s disrupted my peace way to much and I’m not putting up with it anymore. The only part I question is maybe I did overstep with interrupting him but I was so mad. It just felt so trashy to be yelling at your kids in front of everyone.