WIBTA for outing my family member?

To offer some initial context, my cousin is an all around piece of shit. He is married with three children. His oldest is and has lived with my grandmother and grandfather since she was born, she is about 13 now. He has two other children, they live with my grandparents and aunt, my cousins mom, during the week. They only see their parents, my cousin and his wife on the weekends. This last weekend we get a call, my grandma is letting us know that my cousin beat his wife and she left and took the younger two children (6yo and infant) with her. Since then my cousin has decided to take to facebook, asking all our family and his friends to help him find his wife and kids and how much he loves her. My grandma and aunt were able to get in contact and his wife has denied bringing the children to their house to see her, so my grandmother, the “christian” woman she is, called immigration in an effort to get her deported. At this point in my life I have decided it is not my burning fire to walk into, I barely associate with this side of my family.

What is really killing me every time is seeing all these comments of pity for my cousin, the one who beats women and gets DUI’s with his kids in the car. My grandmother commenting to express her worry over the mom and kids she is trying to get deported. One comment went as far as giving him contacts to help him get in touch with CPS. Every single comment puts me one step closer to writing wife beater on everything I can, but then again, maybe it’s not my business.

So, WIBTA for outing my POS cousin to all his friends and family?