Just because two people get divorced doesn't mean they love their child any less. They might be having problems with each other, but they still love you.
How does them um, hating each other, mean they don't love you? That's like someone saying that because their sisters are mad at each other means they must be mad at them.
I know lots of people whose parents have divorced, and they're happier than when their parents were together.
I know this is the hardest thing in the world. But you can stay strong and pull through. Somehow you'll get through it all.