do the disciplining = discipling them?

A: If a kid gets out of line, I got
no problem smacking him.

B: No, no. We don't use
corporal punishment here.

A: OK, so just verbal abuse ?

B: If you have any problems with
any students, send them to me.
I will do the disciplining.

A: Check.

Q1) Above is the script of some part from the movie "School of Rocks".
I was wondering if "do the disciplining" is the same way of saying "discipling them".

Q2) Then what about "We don't do corporal punishment here" instead of "We don't use corporal punishment here".