IMHO There is a basic difference between TTP and AT i.e However much you dislike AT due to numerous reasons.They have a valid reason,that,they are fighting "invaders".That is a big factor for success of their resistance.Meanwhile same cannot be said about TTP.
Here are my opinions on your questions.
1.I don't think Pakistani administration considers those groups to be strategic assets.Rule of Thumb is which,group,is anti-India and protects Pakistani interests in Afghanistan are considered assets.Prime example is Haqqani network.
2.In my view If...