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Are you sure about that? Those look like the Redfield bases, and you are correct that they are held and made ever tighter due to the tapered dovetail on the action. But if there were a stud in the rear base it would prevent the base from moving forward and tightening itself on the tapered dovetail. Some of the older versions of these bases had set screws, which are unnecessary and should be removed and discarded lest someone think that the bases can be positioned somewhere other than at their most forward extreme.A stud under the rear of the rear base matches the recess behind the rear dovetail.
Two solutions: You can get this same base with the forward ring hole at the rear rather than at the front of the base, making the distance between the rings shorter. You can also get an offset front ring which accomplishes the same thing.Alas my 'shorty' Leupold Vari-X III 1.75-6x32 is still a bit too short
Again my 'shorty' Leupold Vari-X III 1.75-6x32 is still a bit too short for the L579. Note that both rings are pushed all the way forward on the tapered dovetail, so I can't adjust their spacing.
Looks like you've got ample room to move the front Leupold ring rearward and the rear Leupold ring forward in order to accommodate the short tube