Would I Be Extradited From A Foreign Country If I Escape The Us To Save My Children?

Location: Virginia. USA. I was the victim of domestic violence by the father of my twin babies. I almost died. He had a plan to kill me when I was pregnant so they wouldn’t be born. (It was not a planned pregnancy). I was able to escape the relationship before he killed me and change my address. Now that my babies are born, the father is seeking 50/50 custody as a means to continue to abuse us. I know it’s not because he suddenly wants to be a dad because he told me he would do this if he wasn’t able to kill me. His family got him a very good attorney who is fighting very hard for custody. He has threatened the lives of my babies before and has promised to make sure our lives our miserable since I escaped. The legal advice I keep receiving from my lawyer is “he might be a good father- we don’t have data on that yet.” “If your babies are hurt by him, you just document it.” I plan on switching lawyers but I’m very scared for our lives. My babies are so young and they won’t be able to tell me if he hurts them. And worse, if he kills them, then how I do I document that to get them back? I have documentation of some of the abuse but not the worst of it. I didn’t report to the police because I was scared that would make him angrier and then he would kill me for sure. So I just left and vacated the best I could. It doesn’t make sense to me. We are in the process of agreement formation so I’m going through the process of different possibilities/ outcomes. I keep hearing that the court takes abuse seriously in custody matters, but how does him not hurting my babies during supervised visits for (I don’t know how long) mean that he won’t hurt them? He never abused me in front of anyone so I doubt he would abuse them in front of someone. He’s very charming and seems nice to strangers but is totally different behind closed doors. I’m told he will get shared legal custody no matter what, which scares me because I’ve been keeping all location information (pediatrics/daycare/our address) secret and he could just get access to it once there’s an agreement. Nothing has been signed and he’s not on the birth certificate so I still have sole custody right now. I’m thinking about fleeing the US and establishing residency in another country with my babies. I just don’t want us to have to be scared anymore. My friends have told me I’ll be extradited if I do that. Does anyone know if that’s true if I get citizenship in another country? It looks like the countries that don’t extradite are not safe to live in.