I will give you my personal opinion. I won't even call it advice, because that implies that I think you should do it. I will tell you what I think, to do with as you please.
I do not know your family, but by your description they do not sound like the type of people who will have their minds changed by a little education. They will hate what you are all your life. You can keep them in your life, but they will always be a disruptive influence. Whether or not your continued contact with them is worth that agony, is entirely up to you. It is your choice.
If you set your mind to it, and are not afraid to sacrifice some material luxury, you can probably move to the other side of the country (of course, I do not know your financial situation). You can meet new people who accept you, and will not treat you as if you were ill, or worse, somehow "wrong".
You may think a family is some sort of holy union that may not be broken, but ask yourself this: if it were really a family, would some members of it deny other members their identity? The world is full of people who will love you for what you are. Just because coincidence placed you in a group of people who refuse to do that, does not mean you have to put up with it. You deserve better.