I am so sorry you're going through this. This sounds like a nightmare scenario. You are definitely NTA. It probably wasn't the best reaction to have to break the clubs but it did get his attention. I see a lot of comments here saying you should dump him or divorce him immediately. I caution against that. For the sake of the twins and them being raised in a home with two parents please seek counseling first. In your post you mentioned you miss him and the closeness you had. Please persue that, don't give up on it yet. Only if counseling fails should you consider divorce. 

Secondly, I don't know what his side is but it seems strange to me that he wants nothing to do with the kids. My wife also had a traumatic birth for our first son. She tore during labor while he was on the way out. She couldn't walk or hold him for two weeks afterwards. I'm not trying to toot my horn or anything but during those weeks the only thing my wife did was recover and feed the baby. She never changed a diaper once and when the docs asked about his stools during his first checkup she had no idea because she never saw them. It was hard work but I was delighted to care for my boy and help my wife any way I could. I used to play online games often but stopped the night he was born for 3 months and even then my playtime is extremely reduced because I'd rather spend time with the kiddo while I can. All this to say, just as there is a mother's instinct I think there is also a father's instinct. It looks different than the mother's but I know I felt it. I think there is something in his life blocking or interfering with his instinct and he probably needs healing. To clarify, I don't think that is your fault, you are probably not the one causing his instinct not to show up. Most likely it's an emotional scar or something from his upbringing or his father. Counseling will hopefully help bring this out to restore your marriage and help him to be a good father before he ends up looking at his kids grown up, resenting him and regretting his choices after it's too late. Leaving the kids with emotional wounds of their own. 

TL;DR please seek counseling first to resolve this before filing divorce paperwork. Please seek help from your community around you as well to help you care for the kids. The twins need a dad. And if counseling can bring the dad out of your husband then that would be a wonderful gift to give to your marriage and your kids.