my family (and its a big one) love their quilts backed with minkee, it is so amazingly soft.
the cut edges(shed) , so take it outside and give it a good shake. then spread it out smooth; spray with basting spray, let sit to get tacky; smooth batting over it (if you are using batting, i do, some people don't) spray with basting spray; then smooth top over batting. pin or baste all the way around the edges, then quilt as desired. it is actually quite nice to quilt (at least i found it to be) works well on the long arm...it is slippery so you need the basting spray and basting or pinning if you are doing it on a regular sewing machine. i have backed 9 quilts with minkee, have had no problems with laundering or any thing else, and they all have regular cotton or flannel tops. and i toss them in the washer and into the dryer (if they are big...mine is king, they go to the laundrymat)
my mariners compass quilt (batik) has a wonderful curly minkee backing! it is FABULOUS and has been washed quite a few times in the past 5 years. there have been no problems from washing (and i do throw it in the dryer too)