Um, no. Saddam saw such groups as a threat to his power and suppressed them. If you are head of a state that is composed of different ethnic and religious groups, you might be hostile organizations that claim to speak for one religious group in your country and want to join up with people of the same religion outside your borders. They threaten your authority and your power base, so if you're a ruthless tyrant, you deal with them ruthlessly. Is that really so hard to understand?
Saddam kept the Islamists in prison, brutally repressed, or executed. That’s why Osama Bin Laden hated him. When Saddam was removed, the jihadist - both shias and sunnis - were free to go wild, with a civil war in which they slaughtered each other - and in which they jointly went after the country’s Christians, who had been relatively safe during Saddam’s years.
The big winner from the Iraq war: Iran. Saddam had been their enemy. the new gov’t that we put in, is their friend.