This isn't Western propaganda. This has been observed, even in their own videos. Guess what they're called now? Turkistan Islamic Party. Keep telling me how secular these Wahabists are. They deserve to be droned along with their terrorist families.
You have a lot of misconceptions, I don't know where to start.
What you call Wahabists, I assume you mean the derogatory term Wahabbi which is used for Salafis.
Traditional Sunni Islam has 4 mazhabs, and recognizes a 5th which is Shia Ithna Ashari (mostly in Iran).
Salafism (meaning predecessors) is a rejection of the mazhabs (Sunnism) and especially Shiaism, Sufism. They also reject the scholars of both. They are literalist and reject philosophy and ascetic spirituality.
Among Salafis there are various groups such as Madkhalis (generally favor regimes and governments to stay in power,) KSA/Arab Salafism (closer to traditional Islam but anti-Shia,) and radical Western Salafism which developed among Western converts.
Among all these groups, Western Salafism is the kind which gave birth to Daesh and these other radical groups, fully funded and egged on by Western governments and provided training by Israelis.
Most Muslims do not accept Daesh as representing Islam, because they reject traditional Islamic scholarship, hadith, and view their leader as infallible.
Khawarij (literally meaning outsiders) were a rebel movement at the time of the Four Rightly guided Khalifahs (Khilafat Rashidoon,) they killed 3rd and 4th Khalifahs of Islam, Usman and Ali RAA respectively.
They believed that any person who commits any minor sin becomes necessary to be killed, even if he is a successor or relative of the prophet Muhammad saws. Hadith warned us about them.
Daesh are the descendants of these people. They are not classified as Muslims in our faith.
These groups with various names are nothing but puppets of the CIA. I hope you realize this.
Instead of beating Muslims like us over the head who cannot do anything about it, know that this is the beginning of a proxy war by US against China.