I checked an online parts catalog and it looks like the stock antenna just has a lead that connects to a terminal on the glass. There wasn't a lot of detail in the drawing, but I didn't look like a piece that would bolt on to the body and just pressure contact to the glass like 41mag suggested.
In response to Azrael, let me clarifiy. On the rear window of the car, there is a grid of copper? traces on the glass. There is one area which is a larger pad, which looks to be where some sort of connector would be soldered/bonded/stuck on the 03-04 cars that used the in-window antenna. On my 05 the pad is still there, but no terminal/connector is installed. I'm looking for a way to hook up the antenna lead to that terminal. So the glass obviously can't be removed, and the soldering would be upside down.
Ray, I like both of those ideas, may be worth a shot.
Does anyone know if there is a conductive adhesive or epoxy I could use for this? Keeping in mind it has to be electrically conductive to high-frequency signals.