Would you stop your father from seeing his grandchild in this situation?

I had a turbulent childhood with divorced parents.  My mother gave me for of a conservative upbringing... so my dad felt it was his duty to undermine everything my mother did to try to raise me to be a decent person.  He tried to teach me racism, he made me watch South Park when I was maybe 9, and he made me watch videos of people in the Middle East being beheaded.  He also made me look at gory  pictures of people who had been brutally killed by trains or cartel killings.  Needless to say, I don't want the same thing happening to my child.  He's already announcing to me all the things he's going to do (such as announcing he's going to show my child South Park when they're little).  He's been begging me for a grandchild for years, and now that I'm finally having a baby, he thinks he's going to be one of the biggest influences and most important people in my child's life and see them all the time.  I'm so scared to let him around my child.  I'm hoping I have the strength to cut him off (I've tried to be a good daughter all this time) because my child's wellbeing matters more than his feelings do.