I'm going to cut ties with my family over past events.
What were the events that led you to that decision?
I'm not willing to talk about it.
That's okay if you want to keep it a secret, and it's normal that not all families are going to get along. It's impossible to get along all the time, but you don't have to cut them off.
Maybe I'll talk about the event later but for now they are dead to me.
This is a mistake to walk away from your family over something that should be worked through. Your family is the only one you have so sit down and speak with them about what is bothering so that you can remain an important part of each other's lives.