I am working on a color change in my 66 Galaxie and have finished painting all the pieces. My console and seats were already black, but I needed to do the dash, headliner, and trim. I used SEM products, their flexible coating, which covered the headliner nicely, leaving the mooncrater texture fully intact--it looks very nice. Make sure to use their adhesion promoter. I tested some inconspicuous areas and the coating seems to be pretty robust. My friend who does restorations has used it with great success over the years.
If your console was made with the same procedure as a 65-66 console, it appears to be a vinyl applique.