Yep do it all the time. If you are going to do line quilting just use a walking foot!
forgot to add that minky should be pin basted (or the like) don't spray it, it will get all wonky on ya. A little stretch as your laying our back out doesn't hurt either. Not stretched to the point that its tight but just till the wrinkles are out of it.
I also do my minky/plush backs way different than most people. I quilt my top and batting together, then I wash it (so it shrinks), then I baste it to the back and quilt only a couple lines to keep it from being baggy!