It wouldn't. Some people are very focused on oil=energy. Of course we use oil for energy but we also use it in so many other ways that even if oil was not used for energy it would not drop to $3.00 a barrel.
Food is packaged in oil, windows are covered in it, it is sprayed on hair, CD's are made of it, computers are made of it, dishes are made of it. If we never used another drop for energy it would still be an oil fueled world.
If you have a (practically) limitless energy source you can make your own oil from carbon and hydrogen.