You're thinking of the Wahhabi sect of Islam. That's one of the most fundamentalist forms of Islam, and the religion of the Saudi Royal family. The Taliban is of a closely related sect; bin Laden is (was?) Wahhabi.

Wahhabism is a sub-sect of Sunni Islam.

Sunni adherents (including sub-sects) are about 85% of Muslims worldwide.

Shiite Islam originated in Iraq.
In Iraq, about 95% of the population is Muslim.
Shiites are about 55-60% of the population.
Sunni Kurds are estimate at 20% and Sunni Arabs at about 15-20%