Islamism is a rejection of the western world's values including the formation of some of the countries you mention.  It is a rigid belief in traditional values harking back to a time when Islam was the most influential and dominant religion in the world.  Islamism dates back to just after the First World War.  The vast majority of muslims are not Islamists.  So no, countries do not produce islamic radicals as these countries were carved out of the Middle East by the West and not seen by Islamists and legit in the first place.