I have pulled several doors apart and I remove the rivets like this:
Using a small punch and a small hammer I tap out the center pin from the "pop rivets" that hold the glass.
These center pins are steel.
Once the pins are out I use a 1/4" drill bit and drill out the rest of the rivet, these are aluminum and a sharp bit makes short work of them.
Then lift the glass out from the top and if you have the outer skin off they can come out the bottom.
With the skin off this is a good time to clean and regrease the inner workings of the door.
Check my sig for links to outer skin removal.
P.S. Using the above method and a light hand I have yet to break glass during removal.
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Some helpful links I've done
How to remove inner door panels, with pics.
How to remove outer door panels, with pics.
How to make rear coil-overs using factory struts, with pics.
How to remove rear bearing hubs, with pics.
How to modify the stock Fiero radio for MP3 players, with pics.