Welcome. Pictures to accompany your post would help tremendously with an answer, but I'll give it a go. We don't have Kraftmade, as our kitchen cabinets are by Homestead. However, the crown moldings on ours are nailed to the front of the rails and stiles along the very top of the cabinetry. The moldings actually protrude out over the doors. There is no "mounting strip" with them as the crown moldings have a large flat area on the back of them that mates to the front (and side) of the cabinets and extends above the tops of the cabinets. The moldings are nailed to the cabinets with 18 ga. finish nails at the bottom flat and in the cove of the molding. The top of the crown molding is 1 1/8 inch above the top of the rails and stiles of the cabinets. The moldings are mitered at the corners, as the mounting strip should be also. Oddly enough, I know this because I spent the last two days making infills for all of the cabinets to create flat "shelves" on the tops of the cabinets so SWMBO can display her milk glass collection up there. The new tops sit 1/8" below the tops of the crown moldings and completely cover the tops of the cabinets back to the walls. If you can post some pictures of your stuff so we can give you a concise answer.
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