The US has some of the best chemists in the world; light sweet crude is easy to refine but heavy sour crude is hard, so US refineries refining light sweet would be a waste of their talents - better to export it out for newbies to refine and buy the harder-to-refine and therefore cheaper heavy sour crude. But if heavy sour becomes more expensive, then the US will switch to the easymode option in a heartbeat.
An increased cost of inputs will always hurt the entire industry, but it won't particularly hurt the US any more than anyone else, and will probably hurt them the least - especially when they have plenty of domestic shale oil that will be financially viable to extract if prices go up.