Place the pork shoulder chunks in a slow cooker and season with salt and pepper. Pour 1.5 cups of the BBQ sauce over the meat. Cover and cook on low for 8 hours until the pork shreds easily with two forks.
While the pork cooks, stir together the coleslaw mix, mayonnaise, apple cider vinegar, sugar, and a pinch of salt and pepper in a bowl. Cover and refrigerate until ready to assemble.
Once the pork is done, shred it directly in the slow cooker and stir in the remaining 1/2 cup BBQ sauce.
Split the slider buns and add a generous scoop of pulled pork to each bottom half. Top with a spoonful of the prepared slaw. Place the top bun on each slider.
Insert one tortilla chip into the top of each slider at a slight angle so it sticks up like a claw.