See the monster on the left. She won't be taking a ride, she would scratch the tops of the door and her daddy would be very unhappy.
I would be concerned about hurting the dog's ears. These cars are loud. Mine cries when fire trucks go by on the street.
As far as eyes, get some doggles and no I'm not making that up.
"Sorry, but my personality rubs people like a wire brush to the crotch."