Medicaid..? Child support..?

Ok so I have a few questions. I know this mightne different in every state or something but first of all, is it true that once the baby is born you will not continue to get Medicaid or foodstamps ect. Unless the father is on child support?
Also do they come after the father for child support no matter what? What if he isn't absent in the childs life? Or what if we all libe together as a family? He still has to be forced to pay child support?
What if I dont want to put him on child support? They take away the benefits then right? Its all confusing and dumb 🤷🏼‍♀️