I can't really argue that UK's close alliance with the United States puts you on the wrong foot with Jihad. No doubt about that.
But the theory that it explains the violence doesn't apply to the many other cases of terror against civilians such as India, Egypt, Thailand, Chechnya, Algeria, Nigeria, Morocco, the Philippines, Jordan, just to name a few off the top of my head.
No, the reason for the violence is that there is contact with them. And they have no tolerance for people who come in contact with them, yet do not accept their dogma and join them.
They achieve power by intimidation and violence.