You need to find more "safety" people because your parents cannot handle the plans of their adult child appropriately. And in the future, you cannot share any information that will cause them to battle you.
At this point, you become the parent and they become the children, and you censor what information about your life they have access to.
Cancel the trip home, tell them why. Just like when children misbehave, there are consequences to that, and this is their consequence.