If this happens, there\'s a possibility that it could make matters worse. The hard line militant islamic groups like the Taliban / Al Qaida / Hamas / etc already hate the Saudi royal family and the entire Saudi government. They are seen as corrupt and immoral, and puppets of the West. (which is mostly true)
If the Saudis orchestrate a coup in Iraq, the entire rest of the region could polarize against them. The next coup we witness could be in Saudi Arabia. That would be really bad. The stable and friendly government in Saudi Arabia is our Number 1 asset in the Middle East.