....no. There are too many jihadi's out there with too many options for that. Though you might enjoy (it's a bit dated) Frantz Fannon's
The Wretched of the Earth, on the topic of terrorism in Algeria. His explanation was
similar, thought distinct from yours here - arguing that the terrorist relieved himself of an anger-driven inferiority complex through his actions; resolving cognitive dissonance. He's a filthy little turncoat sympathizer, Fannon is, but his work should be required reading (imo) for anyone who wants to study terrorism in general and Islamist ventures into it in particular. In addition you may want to try
Dying to Win: the Strategic Logic of Suicide Terrorism by Robert Pape, which discusses suicide bombing from the realist perspective.
The short answer is that while suicide bombing is not directly tied to any one particular religion or inherently tied to religion, it
can be. Sort of like how some people join the Army because they are patriots and some join the Army for the educational opportunities, and neither negates the presence of the other.
that's unfortunate, as it cuts you off from much that is best about humanity. Religion has driven us to do some of our best deeds.
that is correct.