Do you think I'm wrong for wanting my parents to pay for the damage to my car
Did your parents damage your car? Are they responsible for the damage?
My parents should know better, so I want them to pay for it.
It's okay to expect your parents to pay the damages they caused. But that's the question here, did they cause the damage?
They are my parents so they should know about the damage and I want them to pay for it.
I'm getting the feeling that they didn't cause the damage. You really can't expect them to pay for damage that you caused. If you are old enough to have a car the repairs are on you.