If the vehicle bounces the shocks are broken. brakes would not cause a vehicle to bounce.
I do not recommend cutting of the rotors or drums. the use of pad /shoe materials in use today wear down the soft steel in a great amount. so much so that depending on the pad quaility the most you get is one or two replacements.
the drums should be replaced and never cut . a cut drum is not going to stop the vehicle. the radius of the shoe is now different than the radius of the drum. only the top portion of the shoe is braking .