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Not an idea but a certainty, for attachment anyway. You can see in your pic that both your mirrors are NOT one-piece assemblies, as they each have the allen screw that attachs them to the anchor plate that is glued to the windshield. The anchor plate gets glued and then a piece of tape secures ONLY the anchor plate to the glass for 24 hours to let the glue cure. After that you remove the tape and install the mirror and tighten the allen screw. Make sure your mirror can swivel freely on its stalk first before securing to anchor plate, as the leverage of a frozen stalk or "sticky" stalk will make it easy to overcome the glues hold to the glass when you go to adjust your mirror the first time.
See pic below for example of anchor plate. I've never seen a "one piece mirror that glues to the windshield"(for the 1973-1979 ford trucks). Always been the anchor plate and an allen key screw/bolt.