Is the scope a proven performer? I would switch it out for one that is, to eliminate that variable. Are the front scope bases screws truly tight or are they bottoming out?

I might be tempted to shoot a group with all of the magazine parts (box, spring, follower) out. But I'll bet that you end up bedding it. Before you do that, though, you might consider sending it back to Kimber to make sure there is nothing wrong with the barrel. I suspect that if you bed it, they would regard the warranty voided.