well you say TTP is not only a separate entity but also the enemy of the Taliban.
Shouldn't they then fight TTP.
This afghan taliban is also In Pakistan
TTP is also In Pakistan
we all know TTP is fighting Pakistan.
What is the other Taliban doing ?
where are they ?
Taliban are in Pakistan as well in Afghanistan, The Taliban which are in Afghanistan are working against USA for which US need more force, the taliban (real one) which are in pakistan, are actually those who run away from the fight, or left the battle when usa attacked, or went back to get prepare for gorrilla warfare. They have nothing against Pakistan. some do exists at waziristan area which are in peace deal with PA (read more about strategy of Tehrik-e-nijat). Similarly there are civilian taliban as well present at some areas which are un-armed.
TTP is the creation of the agencies who are working against Pakistan, so if they surrender, then PA should arrest them and get out the information from where & how they are getting weapons money and otherstuff and do everything to make no future TTP come out again.