No, you are confusing the two. Their CLAIMING that they do, and actually objectively doing so, are two states of affairs. Have you audited every verse of the Koran against the practice there? No, I do not think you have. Also you probably haven’t visited the more enraged Al Qaeda sects.
I have lived five years in Saudi Arabia, two in Iran, and two in Indonesia. There are variations in how countries and people practice Islam, but the Koran is still central to the daily lives of the individual. When you pray five times a day, fast for a month, and make a pilgrimage to Mecca, you are far more involved with your religion than most Christians or Jews. In many ways Islam is more akin to a cult than a religion. Apostates are treated harshly.