Cliff, I understand where you're coming from, but you're wrong. The definition of a second is completely divorced from planetary motion.
15 billion years is a REALLY long time. The sun, barring advanced tech, won't be here anymore (ergo, neither will earth). Our biology will likely have evolved by then to presently unimaginable states. We'll still need units of time. We'll still have to agree on a definition of something like a second that is defined by something intrinsic (like cesium hyperfine transitions).
Further, if we advance enough to engineer a solution to preserve both the sun and the earth, surely we can engineer some way to preserve the angular momentum of the Earth as well, and stop the slowing of the rotation. If that's the case, this argument is as futile as it seems already.
-guy w/a physics degree