I have done precisely what you are suggesting with some bits of wood that came from the hobby shop. In my case, I found a sheet of 2mm thick walnut. Clean and nice, but too thin to make scales from. I laminated the walnut to (of all things) a sheet of modelmakers' birch plywood (0.8mm thick).

For the laminting I used a generic 5-minute epoxy. I didn't even bother with mixing dish. I just squeezed out parts A & B onto one half of the scale material and then mixed it in place, spread it out, scraped it off, spread the scrape-offs onto the other half of the scale material and then slapped the two together. On either side of the lamination I used a piece of flat, scrap wood, and then eight clamps to apply even pressure to the join. It came out purr-fect.

Give it a try.