I cannot speak for the "Intelligent Design movement" - for those answers, you'd need to keep up with the lead group at the Discovery Institute.
Here are my responses to your questions:
Lot's of people have spent lots of decades looking for nonrandom variation without finding it. I've seen FReepers argue that most mutations are harmful, but then the chances against a germ cell achieving conception are a hundred million to one. There's an enormous selection factor prior to birth, much greater than after birth.