First if I eat meat or not is none of your business. I think it is judgemental to qualify a person that you potentially don't agree with as close minded. A close minded person is a person that can't accept that other people can have a different opinion.
An open society is a society that accepts diversity and doesn't try to shame people into conforming to a single way of thinking.
It’s stupid to say that it’s “close minded” for someone to come to a different conclusion about what level of processing is acceptable to them.