It is important to make the distinction between TTP and Afghan Taliban. If you put the same basket, your strategy against them will be flawed. Afghan Taliban and TTP are in many ways enemies of each others. TTP mainly are in SWA (well at least were) and Afghan Taliban are in NWA. They are independent from each other for the most part. Destroying one won't destroy the other.
Well two armed groups ruling over large areas will always have sparks flying between them, but that cant be termed as enmity. They also cooperate with each other on a large scale...
Destroying one is not possible without destroying the other. The roots are inter-connected and one will easily transform itself into another.