Oil pipelines and refineries don't stop for hurricanes or civil war or anything.
There is too much money on the table for anything other than shortest possible delays possible.
Saudi oil production today is 12 million barrels per day times $70 per barrel which equals $840 million per day. Nothing, not even a muslim cleric or an OBL, would stop that kind of revenue for even a few hours.
US, New Orleans-based oil companies face the same logic.
Some folks seem to be doing a pretty good job of shutting down the pipelines in Iraq.
Some have stopped and will be a while getting back on line. Not too long from what I hear. Time is money.