Car seat leather (and furniture leather as well) are a bit too thick for a cue wrap; however there are tons of out-of-style leather jackets plaguing the racks for Goodwill and Salvo's... Most of which are cheap lambskin which is quite soft and smooth.
I have to see where one is around here.
The cool thing is, you might find a piece of leather with a nice 'patina' to add to the vintage look...