I am not sure what assumptions you are making in your last paragraph, but I think you are off by enough orders of magnitude to assume you pulled those numbers out of thin air (at best)
> equivalent of two Hiroshima bomb every mile along the equator as its kinetic energy is rapidly converted into heat.
Little boy was 15 kilotons of TNT (63 TJ). Kinetic energy is 1/2 mv^2.
So you are claiming that the mass of a mile of the cable is such that mv^2 = 126e12 J
At equator the planet rotates at 463.8 m/s so you are assuming that the bottom mile of the cable weighs 585.5e6 kg? Ok, you're completely off base here.
Maybe let's look at a higher segment (at geosync orbit). Velocity there is 3.1e3 m/s. You are assuming a mile of that cable weighs 13e6kg. But on the way down it will both ablate (lowering mass) and slow down (lowering velocity), so you are assuming an even more insane higher number.
For comparison, a mile of one inch thick steel cable is ONLY 4e3 kg. Sure, space elevator needs something stronger, but even more so, lighter.
Yeah, you are just off by MANY orders of magnitude, and that claim was likely pulled out of nowhere