I think the headliner would be better than neoprene. Headliner is a squishy foam, you will not have any trouble at all sewing and quilting through it. The thickness would be similar to quilting through backing, batting, and top. The neoprene would be more difficult, I believe. It's not as squishy as the headliner and you're going to have a lot of friction on your needle and thread, sewing through neoprene.