The most radical state is Saudi Arabia due in whole and part to the Wahabi/selefian movement. Which was a radical movement that began with Ibn abdul-wahab in the late eighteenth century, he teamed up with one of the forefather of Ibn Saud who was a bandit at the time. Together they wanted to usurp the rule of th Ottomans in the holy cities of Mecca and Medina. They succeeded in murdering and massacring there ways and killed anyone who didn't agree with them. They were initially defeated by the sons of Muhammad Ali Pasha an Egyptian ruler and then fled to Kuwait. Until the returned to Mecca due to British funding and massacred the inhabitants of the two cities mentioned - this is circa 1920's.
After they established rule and oil was found an empire was born. The Saudis are one of the closest allies in this war.
You also have to bear in mind that Osama ibn laden was a former CIA operative working in Afghanistan against the Russians. He was given some 30 million by the CIA to fight the Russians, which they did. He used religion to expound his ideas due to his teacher Ayman Az-Zawahri, who planted these ideas in. The CIA call it "blowback" when an operation that they funded turns on them. They believe that the non-believers should be killed because they don't believe.
These are the two main radical groups out there now and strangely enough they wouldn't be that strong without the funding of outside forces, because they could be dealt with quite easily, internally. Seen as it benefit some people to have Muslims fighting people then its okay. As you can see all of this thought is rubbish, we deliever the message and then what the people do it up them we don't force the religion upon anyone.
I really feel this whole war on terrorism is one big charade that there isn't two sets of people, theres just one. If say this what will you say? I'll say this and this will cause and upset, they are both on the same side. They both dress differently and think up ideas of how to upset people and cause war. Whilst they enjoy the comforts of life and other people are being killed they don't care. They are watching the bank balance grow thanks to the opium, gas and oil sales. They don't care about human life they care about profit and there’s no profit in peace.