I may have slightly misstated my point. My main point is that the conflict between Islam and the West is actually a part of a broader conflict between Islam and everyone else. The relationship between “radical Islam” and the majority of Muslims is another issue entirely. I think the reality that you cited is correct, the majority of Muslims do appear to support Sharia.
Fair enough. The only other distinction I might make is that most often Islam = sharia = radical Islam. Many ‘radical’ Islamists fairly, I think, make the point that there is no radical Islam: there is and it is simply Islam.