Livernois a reputable tuner. They will most likely recommend oil pump replacement before the addition of any supercharger, as the harmonics and shock loading from the supercharger drive can crack the oil pump gerotor gear, resulting in engine failure. The pump is $500 plus installation, so probably ~$2k total for that.
As far as the rest of the drivetrain, the 6R80 seems to handle a decent amount of power over stock without common failure, although they tend to exhibit planetary thrust bearing wear when subjected to higher torque numbers.
The Sterling 9.75 is a stout rear axle, but the issue is keeping it under control. Even in stock form, leaf springs will exhibit significant wheel hop under load. Combined with pinion angle deflection, you can take an axle that can manage the power but will fail due to shock loading, movement, and deflection. Traction bars are a must have at minimum, but will significantly limit axle articulation off -road.