Thanks for all the valuable input.

I fixed it myself, at least for now. I am such a cheapskate, I couldn't see spending $40+ for a piece of plastic tubing with a little plastic flange on the end that screws to the bracket. I undid the screw that holds the water dispenser tube in the door opening, then disconnected the waterline under the freezer door, and pushed the water line up about 4".

I cut the tubing off the back of the face flange about 3/8" back, and notched the locating tab in the back enough for a repair tube. I then cut a 1" piece of 1/4" tubing that is used in garden watering drip systems. I then heated that piece up in boiling water, then slipped it over the fridge tubing pieces, pushing them back together. Re-installed the dispenser tube screw, re-connected the waterline under the door. Done. No more leak.

I will replace my ice door with the kit, though, it is on it's last legs, and I can see needing a new one. That I can deal with.