You are uninformed. The United States has been drilling offshore for a very, very, long time. The Gulf is the second biggest offshore fuel sources in the entire world next to the UKNS/Norweigan North Sea. Offshore drilling is gigantic and has been for decades and decades. It's not new in anyway. That interview was probably referring to drilling off of Alaska, which has to go through government approval. If a well is economic, they'll drill it.
National production does not affect national pump prices. They are in no way connected. A country can use for national production, export limits, price control, or a number of other things to affect regional prices but this has nothing do do with supply (or demand) as this is a global market.
GET WIT IT NIGGA.