Excellent analysis
@Horus. Agree with every word you have said. There're a few points i'd like to add.
The most fundamental of misconceptions IK or other proponents of negotiations have is that the likes of TTP and it's sister groups are somehow "our people" who have been misguided, which is absolutely unfounded.
Demographically speaking, major terrorist outfits like TTP, Lashkar-e-Islam etc compromise elements from Uzbek, Tajik, Arab and to some extent Chechen and Russian descent. They're foreigners, not Pakistani people.
Apologists like IK and people having similar opinions seem divorced from ground realities. If they were to visit FATA, they'd know how disgruntled an ordinary tribesman has grown of their increasing menacing activities. Consequently, as a means to defend themselves and their families, they have formed lacal lashkars. These lashkars have been critical in intelligence gathering and physically assisting PA on the ground. If local tribesman don't consider them as a part of them and are actively resisting them, how can we, residing in Islamabad, Lahore or Karachi call them our own? The absurdity of such an argument is self-evident.
All of them including the Pakistani factions fighting the state aren't misguided but brainwashed. There's is clear distinction between the two. The former, like IRA as you pointed out, can be brought to table and reasoned with to eventually reach a agreeable compromise. The latter, the ones fighting Pakistani state in the terrains of FATA are drastically different. They're know to be involved in abduction of civilians and soldiers, have tortured and killed dissidents in the most heinous of ways like beheading, taken control of and expanded drug production/supply to a new level and essentially established a state of their own. Ironically, they have done it all in the name of Islam. These are not the practices of "misguided" ones, they can only be committed by religious zealots who are hell bent on destroying those who differ with them, not engaging in conclusive dialogue. They'll settle for nothing less than total annihilation of our society, culture and traditions. So this situation basically boils down to our own survival vs theirs. It's either us or them.