It is usually not a good idea to tap off half of a battery pack. This causes some of the cells to be discharged more than the others, and since the pack is charged with all of the cells in series, then there will be an imbalance between the cells in the pack. Better to split the pack into two, and charge each sub-pack independently, but that requires a different charger...
Likely better in your case to use the full pack, and then devise a means for running the motor at a reduced speed off the full pack voltage. How about retaining the drill motor speed controller (Pulse Width Modulator, PWM), replacing the trigger rehostat with a pot, and then using that to make the motor run at the reduced speed. Bypassing the speed controller, and hooking the motor directly to the battery pack would define the full speed mode?