Am I wrong for saying I’m a single mother or preferring to just do my way?

My fiancé really keeps saying if I don’t want to continue to be overstimulated and doing everything for the baby by myself I should put her up for adoption. Let’s not even take into account I have 3 children from my previous marriage that I have been raising on my own. Our child together is his first biological child but he had 4 bonus kids previously. All of that is irrelevant, we have different parenting styles I like to plan her day, get her accustomed to a schedule so that I can have peace but he’s just go with the flow like letting her sleep all day 5-6 hr naps throughout the day because he works at night. So shes up all night or going to bed at 4 am when I have to get up with my other 3 getting them ready for school and then head off to work. He also gives in to her every tantrum, he does not allow her to cry or self soothe at all so it’s to the point that she will keep screaming until you pick her up. He started these bad habits and more like they play a game where they bite each other so shes biting a lot now despite me trying to redirect her. He blames me or the other children saying we allow her these bad habits and so he often makes that as his excuse to hand her back to me. I have tried to keep her all the time so I can structure her but when you live together that’s seems a bit unrealistic. Rant over