Supporting BLA is understandable and logical from Indian pov(after all, for how long have you been creating trouble for us in Kashmir and Punjab before that) but TTP ..no ways..they are Islamo -fascist scum, who have extreme hatred for even moderate Muslims states, one can only imagine how much they hate India.
Infact many times they have gone on record to mention, that if a conflict were to erupt between Indian and Pakistan, they would abandon their operations against Pakistani state and fight along side Pakistani army against Indians. They are on record, after establishing Sharia in Pakistan, they will bring entire South Asia under sharia law.
There is no love lost for terrorist like Fazalullah, the only thing that pinches Indians, Afghans even Americans is Pakistan's obvious duplicity.
On one hand Pakistan harbor terrorists like Hafiz Saeed, Dawood Ibrahim , OBL , Mullah Omar, Haqqanis..who launch attacks from within Pakistani border on other nations and at the same time you have the audacity to demand your terrorists from other nations.
If you want to eliminate these terrorist, we are with you..but it has to be Quid pro-Quo.