What type of Tether material could withstand blistering heat and radiation from the Sun, sub-zero cold from the vacuum of space, hold up its own weight (much less any additional stress from a so-called space elevator), ride out hurricanes, tornadoes, and the 100 MPH trade winds, survive collisions from meteorites and airplanes, and be cheap enough to make it practical? What State would accept the environmental risks and safety hazards of such a project? "Not in my backyard!" How many cities would be wiped out when this Tether breaks? Can you imagine if he broke loose on the space end, it would act like a giant whip, lashing and whipping everything within a 13000 mile radius! This thing would make a great terrorist target--only a sharp saw needed to create chaos!
Science-fiction is great entertainment. Just make one incredible hypothesis, and then build upon it. Good fun for all, and it does help stretch the imagination.