when you say, "Islam is nothing but politicized organized crime and should be outlawed in the free world and the free world should eradicate Islam from the entire world" do you realize that that same statement of yours is applicable to most of the other religions. Consider Christianity: today it is a politicized institution which wishes the world to follow its steps. Consider Hinduism: They want the people to behave according to their beliefs and are ever ready to strike back violently if spoken against. The problem here is not religion, thus Islam has nothing to do with the term "TERRORISM". It's about a group of people who have misunderstood the beliefs of a religion. Banning Islam will just aggrandize the situation.

Islam is a belief. Banning Islam as a faith just makes people practice the belief in privacy. The problem at core is not to abolish the belief but some of its factors which persuade a part of the society to behave in a negative manner. You cannot expect 99.999% of the population to give up their beliefs because of the other 0.001% of the population. The selected population who practices illegal activities does so because they've misunderstood Islam as a religion. If you ban the practice of their beliefs, then they will come out more powerful next time because they will have nothing to lose.