Thanks for all the responses. The deed is done. The RX100s are on, centered, and new Ultegra all weather pads installed. The front wheel has been changed to one with Alex doublewall alloy rims with machined braking surfaces that show almost no wear (bought these wheels from a bike co-op in pristine condition). The only thing left to do is swap rims on the rear wheel retaining the original 7-speed hub. As it is, the braking is substantially improved. The next time it needs bar tape, I might consider swapping levers to see if that helps as well.
I like firm feeling, well modulated brakes, hate mushiness.