I think you should let him know when you are going into labor. If he wants to be a participant father and husband then he would show up but if he doesn't care then he wont show up but at least he knows. Give him the choice to be forever the a$$hole or father to his child. If he chooses to be an a$$ then you can deffinitely start drawing up divorce papers.
If you do not want him there I would make sure the staff knows that, they can't make you let him be with you if you don't want him to. But since it is his baby he does have a right to know when it's born, but it's up to you if you want to tell him when you are in labor or if you just want someone/you to tell him after the baby comes.
I think that is something only you and your husband can decide on. But personally, I think he deserves to know when baby is coming. However, that again is only something you 2 can decide on.