Andy,
On our first two Tucker projects we installed marine-grade rubber backed carpeting; essentially copying what Tucker did, though with hopefully a higher quality product. It's relatively cheap, easy to work with, and forgiving of minor errors. But it's also a somewhat uninspired choice.
On the Thundercat project, we lined the interior of the cab with an adhesive backed, sound deadening material, similar to Fat Mat, etc, though at a lower price point. It has a foil facing and is easy to cut and apply. As it gets covered up with other materials we thought it was okay to piece it together, which significantly cuts down on waste. That was applied everywhere: roof, side walls, doors, firewall, floors... you get the idea.
Then we used a 1/2" foam-backed perforated vinyl product everywhere but the firewall and floors. We thought the foam would further reduce noise and vibration, and it would act as thermal insulation as well. For the floors we used a 1/8" thick recycled rubber product with a small, pebble-grain texture.
With both of those products there's no cheating. It has to fit right (essentially perfect) or it looks like cr*p. We made patterns for each panel out of poster board first to ensure the size and shape were dead-on before we cut the upholstery material.
It's a time-consuming process, but the result is a professional looking job. We think it looks much nicer than the carpet and believe it will significantly cut down the noise inside the cab. It's likely we'll use these products on our subsequent snowcat projects. More money and more work, but we think the result is worth it.