Well-chilled but not quite frozen pork is much easier to cut than pork at room temp or even straight out of the fridge. Place your pork in the freezer to firm up, about 20 minutes, prior to cutting.
To make efficient use of your time: prepare the cabbage, carrots, scallions, and ginger while the mushrooms are soaking, and the meat is marinating. Be sure to clean your cutting board and knife after you’ve cut the meat to avoid cross contamination.