I completely missed the fact that the machine is brand new and still under warranty, and, so, yeah, make apple open it up and fix it! Especially since you can't be 100% sure that it's on the glass and not on the plasma display until it's opened up.
iMacs are a real booger to do any work on beyond swapping memory chips. Replacing a fried hard drive, or even re-seating a connector that has worked loose, everything requires removing the glass, then removing the plasma display (think giant wet noodle), then disassembling the computer inside. Then you've got to get it all back together! When I watched the youtube movie and they got to the part where there is a thermostat taped to the disk drive, and if you don't get it on just right then the computer won't run, or worse, will burn up -- that's when we bundled it up and took it to a real repair shop!
I have several iMacs which had their glass smashed in a vandalism attack. (School computer lab.) They work, so I bought replacement glass on eBay, and was able to replace it -- it's not that hard. But keeping the back side clean is pretty challenging. If your iMac was really built-to-order, that means that a human being took the glass off after it came off of that robot-operated clean-room assembly line, and it would have been really really easy to get the backside dirty. And when you send it in for repair, they are going to pop off the glass, clean it, put it back on. So don't be totally surprised if it comes back with the streaks gone but a new fingerprint or two!