This is an attitude you need to get rid of right now. I understand you are still basking in the glow of “convert zeal” but you need to understand something. Using artificial birth control is a sin. Just like any other sin. Your wife is a sinner. What you are saying here is that she should be kicked out of the Church
because she is a sinner. Um, so where does that leave all the sinners, with no one to minister to them? And where does that leave the Church, with no job? This attitude that people who commit this one particular sin are not real Catholics is going to get you nowhere with your wife, and it’s also going to alienate you from those of us who have struggled and failed on this teaching.
You also have to give your wife some slack because of the culture in which she was raised. She is right to think that taking BC is just what “normal” women do. Everyone does. 95% of Catholics do. Her culture (and probably her upbringing) has handicapped her ability to make a free, moral choice in this matter. Does that remove all her guilt? No. But it may mitigate her culpability. Did your RCIA education teach you about mitigation of culpability? For some people, something defined as a mortal sin may not carry that penalty for them personally, because their ability to make a choice, or understand the choice they are making, is hindered by something. I’m ashamed to admit that my own tubal ligation came about partly due to family peer pressure on the topic.

Now, I am not saying that your wife is not committing a mortal sin, nor am I saying that her culpability is mitigated. What I am saying is that it might be, and you should probably leave this matter between her and God. She knows what you think. She knows what the Church teaches, though she may not really understand why. So now, let it be hers and pray for her.
Your spiritual journey took off into high speed over the last couple of years. That is YOUR reality. It is not hers. Hers is in a different place and at a different speed. She may never reach the place where you are. If you want to remain married and not end up visiting your child on the weekends, but also if you want to truly respect and love your wife for who she is NOW and where she is NOW, then you are going to have to restrain yourself from bringing this topic up all the time. God’s time is not our time. If she allows it, He will take care of it. If she does not allow it, that is beyond your control, and she will pay the penalty of her misuse of free will on her own. You have expressed what needs to be expressed. Now show true love and caring and be supportive and pray for her.
You don’t have to cave. You don’t have to let her force you to agree that ABC is no big deal or that it’s not wrong. You can just say, “You know I don’t agree with you. Let’s talk about something else, because that topic just causes trouble. I love you.”