Your OH is living in la la land.. He helped create this child, therefore it is also his shared responsibility to help you care for him, whether he works or not. If he wants to be a part time dad, he doesnt need to be a dad at all! My husband works sixty hours a week, or more, and still comes home to retuck in our babygirl and snuggle her for a few moments. When shes up at five am, hes in bed soaking up every bit of time he can. His ONE day off a week, is COMPLETELY dedicated to us..... Your OH needs to fucking wake up for sure!