I think one important thing you need to keep in mind is that your parents said "No matter what life you choose to live, we will still love you." I think maybe (and obviously I don't know, but it sounds like) they understand that being gay isn't a choice... choosing to act on those impulses is the choice. But I mean, choosing to act on heterosexual impulses is a choice as well.
It sounds to me like your parents are scared for you. Terribly afraid. They ARE being stereotypical, and close minded. But they DO love you. If they didn't love you, they wouldn't take the time to watch the movie with you, and talk to you afterwards. They would just forget about you.
Parents are human beings. They have faults. Your parents may have been raised in a society where being gay was considered to be wrong. Being a teen is definitely hard, and to have to overcome an obstacle of showing your parents that one of their core beliefs is wrong, is terribly hard. But I do think they love you. And that is the most important thing.
Just remember that you will overcome this. And when you go to a college, definitely look into a more liberal school where you will find lots of support. Remember to not lose your temper over this subject... React calmly, even if your parents are acting immature, because if you act childish, it will only push them in the wrong direction. Think of yourself as teaching *them* something. And eventually, they will understand.
"You know, a little orphan girl once told me that the sun would come out tomorrow. Her adopted father was a powerful billionaire, so I supressed the urge to laugh in her face. But now, by gum, I think she might have been on to something!"
--Reefer Madness