I think my girlfriend and her family are disgusting
Why do you think your girlfriend and her family are disgusting?
Because every time they try to do something with me, they want something that is disgusting to me.
It is understandable to not want to be put in a situation that you feel uncomfortable in. You should assess why you find what they do disgusting and work on finding activities that you both enjoy so that her family does not come between you and her.
No, I don't want to be around her.
That is a different story.  If you do not feel comfortable enough to keep a relationship with her, you should end it as quickly and painlessly as possible.