I think if we’re gonna have drills then the bits need to be a thing that gets wasted in the process. Drills have no damage quality except bashing when they don’t have a bit. You can weapon-mod the drill with a bit to increase the damage that it does and what items you can use it to drill through. For instance, adding a screwdriver bit will give the drill screw driving quality and higher grade drill bits can be used for levels of a non-existent Drilling Quality. If the bit breaks as the result of a failure, it just destroys the mod on the drill.
Drilling should use the Construction skill instead of Mechanics since it’s really a matter of application of the reverse of construction whereas safe-cracking is a direct use of Mechanical knowledge in opening a safe. It’s also not unreasonable to believe that a really secure safe might not be cracked with either and need electronics skill to wire a code-generator or hacker’s PDA to a keypad-based safe. A safe that has a fail-safe to destroy its contents if breached, or rigged with a trap, is a good example.