Well if there's a LONG way to go about doing something just ask me how and I'll show you.
I started off by printing a few pages from the FSM (95 YJ and mines a 92) to guide me through the removal of the window regulator. I had a little trouble because there's a "Division Channel" that goes between the main side glass and the corner window. The FSM said to remove the adjusting screw and slide it out of the way to remove the regulator. That channel didn't budge.
Long two hour story short, my 92 YJ has a corner window surrounded by a metal frame and I believe the later ones don't have that frame so it's a slightly different procedure. Once I got the corner window and division channel out everything was clear and easy.
I could easily see the hinge backing plate through the window slot but also determined it's held in place by bracket tabs and all that is welded in place before the door was built.
Then I noticed a stress crack in the inner and outer door skin along a bracket which holds the two skins together at the base of the corner window. In fact the bracket has broken off the inner skin. I also found both left and right doors have a crack in the same place. Poor design or is it from people grabbing the division channel when they close the door? I don't know.
At least I have all the glass out since I'll be welding the cracks. Welding that close to glass can be bad.
In the end I tried YJRadio's suggestion to drill and easy-out the screws and in ten minutes both were out. easy-peasy.