I have treid to quilt a quilt with minky on the front (only in some areas) and also on the back of the quilt -- very difficult and I would not recommend using minky on the front. It shifts a lot and because it has quite a bit of stretch in one direction it's difficult to use in a quilt block. It's also very thick so any seams can get really bulky.
I have had customer quilts and a few of my own that have had minky for the backing. There's nothing quite like the feel of it, but it also can be a pain in the you know where to work with.
One time I put it on my longarm and had the stretch going horizontally (top to bottom). I pulled my tension tight and tighter and tighter. I used my clamps on the edges to pull it tight also. The result: when that quilt came off the machine it literally bounced back about 3 inches and the top became all puffy -- not a good result!
Another time I had minky on the back and was trying to do a more detailed pattern. It kept getting little tucks in the back.
I've tried using a basting spray -- that only messed with my tension and caused some skipped stitches.