Yes, that is exactly my thesis. Any Muslim who comes to acquire a true understanding of Islam, no matter their educational background or status in society, and wishes to follow its teachings, is duty-bound to convert Dar-ul-harb to Dar-ul-Islam by any means.
But that does not mean that all Muslims are conspiring to blow up innocent people. Most Muslims have no idea what the Quran says, because they simply recite it in Arabic, a language they do not know. They do not know the Hadiths which have detailed Sunnah of the Prophet. They are Muslims by birth, and just go about their lives as the rest of us.
You are asking me to prove what I do not believe and have never claimed.
All I am claiming is that Islam and the Prophet's own conduct are very clear on how Muslims should deal with Kafirs. If many Muslims are not following those teachings, it is because they do not understand Islam.
But my point is that the so-called radicals and extremists are the ones with a clear understanding of Islam, and they are the ones who put its teachings into practice. So it is Islam which must be questioned, because these Muslims are themselves as much victims of Islam as their targets.