I am fairly faithful, though more liberal than many in my faith. My kids have come out to me maybe a dozen times in total, and have been disappointed every time because I didn’t go crazy on them. Most religious people don’t hate LGBTQ, even if they also don’t agree with some of it. Most religious parents love their children AND their faith, and are willing to let their kids make their own choices.
Don’t let a vocal few and their media response cause you to try to squish your parents into a box. They can love you and not love your choices, but also support you making them. Not everything is black and white. If you have kids, some day your kids will subscribe to ideologies you don’t like, too. It’s part of parenting. Parents are allowed to be disappointed when their kids reject the things they love.
Just stay true to what you feel is right, try to love your imperfect parents, give it a few years and everything will look much different one way or the other.