I haven't cut it myself but I did look at the pattern. If I were cutting it I would stack cut two layers of 1/4" wood. I would use either a Flying Dutchman UR #1 or an Olsen #2R Blade. With these blades you should be able to cut the details on the figures.
By stacking, you will have better control of the wood, and you will make two projects at the same time!