Those rings look like Chinese ones which come with cheese for screws. I found success in the past on several occasions, with the same type of scope rings tightened up to the point of no return by the same MR Ham Hand. First get a new drill (not Chinese)which will just fit inside the hole in the head of the screw and create a shallow starter hole with your trusty Makita. Then drill the head off the screw with a new drill (not Chinese) that is slightly smaller in diameter than the diameter of the screw, driven slowly with several pauses to check progress. It does not take very much work to drill into the head to the point that the head will fall off (because the screws are made from cheese). Total time, about 15 minutes.
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