I got my drivers side wing out this afternoon. I made a simple wooden fixture to set it in. I ran a razor knife down the inside edges and just pushed a screw driver under the old felt and I came right out. I scraped it with the screw driver edge then used lacquer thinner and steel wool to clean it up. I used the adhesive backed Velcro. To aid the install I brushed lacquer thinner on the adhesive side and down in the channel to get the interface slick not sticky. I pushed the felt into the track with two wooden paint stir sticks side by side and left them inserted and continued with two more until it was all assembled. After it dries I’ll use a razor knife to go down the edge cutting off the excess with the wood still in place.
I bought 2 inch wide black Velcro with an adhesive back at JoannFabrics at $12.99 yard but you get 40% off with a coupon. The 2 inches is about what you want just cut off the over hang excess. The length is right about 3 ft. Naturally you want to use the fuzzy part of the Velcro and throw the other half away.
Photos attached. Pardon the work area, this was a spur of the moment undertaking.