IIRC, I didn't think that humanity's footprint is that significant. Most of our impact would be on the surface (or a few miles below) with little or no effect upon the crust, mantle or core. Seems to me that this rock orbiting an average star would survive quite well on its own, with or without us.

Now, blowing the planet into atoms, courtesy of Lex Luthor, Dr. No, Blofeld, Dr. Evil, Marvin the Martian, et al, would be significant