Ground wire in 14/2 NM-B cable is at 60+ Volts when not connected to anything
It's not connected to anything. There is non-zero capacitance between the lines in the cable, and your meter has a high input impedance. Capacitive coupling gives you a phantom voltage that will disappear as soon as anything is connected.

Connect the ground and neutral correctly and the non-problem will go away. Then there's the question of WHY you were connecting the hot wire without connecting the ground and neutral...