LeJ are deobandis, not salafis.
In Saudi Arabia, there are two kinds of Salafis
1) Salafi Madkhali
2) Salafi Qutbi
The first kind, Salafi Madkhali are in favour of the King, and are against violence.
However, Salafi Qutbi are the Osama bin Laden group. According to their leader, Sayyid Qutb, all Muslims have become apostates and are to be killed if needed. He was a genocidal maniac. They have made a group in the Arab world called Takfir wal Hijra. Basically they excommunicate all other Muslims from the folds of Islam, and declare only themselves as Muslims. So, they hold no respect for any other Muslim life, so would they even consider non-Muslim life?
TTP and its leaders are Qutbi salafis.
A few facts for your benefit.
Salafi -inspired is where the problem lies. Most of the so called deobandi groups like LeJ are funded by Saudi. It doesn't matter what branch you belong to. The Salafi doctrine as a whole is anti shia and vilifies any sect that does not conform to the Salafi doctrine. The history of the Salafis/Wahabis goes back to the 1800s where they became known for rape, pillage and murder. They became known as the Ikhwan in the early 1900s and served as the thugs for the Saud tribe. Of course, once Saudi Arabia was formed, the Salafis became the junior partner in a ruling alliance that eventually led to the havoc that is currently being wreaked globally in the name of salafi jihad.
We all know LeJ and ASWJ has been getting funding from the Salafis in Saudi to kill shia Pakistanis for the last two decades! Everytime that LeJ scumbag, Malik Ishaq goes to Riyadh, he comes back with piles of cash. Who is giving him that cash??
Importantly, since 1979, the Saudis had been officially exporting this vicious ideology to wreak havoc in other countries. Its only when these thugs started attacking the royal family in 2003 is when the monarchy woke up, changed its tune, and started to appreciate the monster it had spawned. Just like in Pakistan, there are non state actors in Saudi who are pursuing a salafi jihaxist agenda to this day.
Its not too different from the what happened to the Pakistani military, which foolishly enough, helped spawn local jihxdis infected with the Salafi doctrine, and then watched all these dogs go rabid and attack the very hand that fed them.
In a nutshell, we all know LeJ is the Punjabi militant arm of TTP. There is a clear ideological and operational nexus. Both hate other sects including the shia, sunni barelvis among others, and both are fighting to establish a Salafi- inspired fiefdom in the country. Both share the 'same grandmother'. Period.