I think a lot of people are too eager to assume this is an oil shock rather than a gasoline shock. With 1,000,000 additional people out of work, plus much higher gasoline prices, it is conceivable that US demand for oil will actually DECREASE in the short-term.
I hope you are right, but really what we are saying is that this event "exposes" to the average American just how tenuous the supply of oil is and how easily it can be disrupted. Add some political instability and you have a real disaster because there is no excess supply that can ramp-up.

Peak oil means more instability in supply as well as an overall eventual decrease in supply.

The refining situation is just another symptom of the supply crunch. Who is going to invest in a new refinery when there is no apparent oil supplier that can feed it?

You quite likely might be right in the short run. If nothing else, there isn't the infrastructure for the US to start importing oil in larger amounts. But this will only mean that other places in the world will be able to start claiming dibs on the oil which otherwise would be US bound. Once the US repairs the damage and is ready to start importing again, what is going to happen to the price? The US's lessened demand was likely filled, there's no spare capacity, and the US will still have less domestic production. Unless the US has greatly cut desired demand, they will be hungry for oil, and the price will jump as countries/companies try to out bid each other.

Right now, yes it's mostly a gasoline shortage, but there is a strong spectre of an oil shortage as the US's importing infrastructure comes back on line after having been down. And the longer it's down, the worse it will likely be as the countries taking up the US's slack will have become more dependent upon the oil they'd been getting.