Tim,
I see two possibilities. First is sacrifice the friction lock plate and mount the lock with the other holder.
Second, it looks like there are holes in the side body of the lock itself that the friction ring catches. Can you take something thin and try and pry the friction maount away from the lock body? I think if you can do that, and remove the lock leaving the mount with the glovebox door, the mount will come out easily once the lock is removed.
Years back,(probably 35) I went to the salvage yard and snagged every glovebox lock I could find after the spring loaded lock tab broke on my original lock rendering the glovebox door a serving tray. Somwhere I bet I still have that "trophy bag of locks and retainers".