I have a 1989 Mustang convertible and it's about time to replace the top. I know it's not the original top on the car and it doesn't have a head liner. I always just assumed it didn't come with one but I've seen some for sale. Did the Fox Mustang Convertibles originally come with a headliner and it just got removed by whoever last replaced the top? And if I had a headliner installed, would it go up and down without bothering the top or work fine?