I think some people need an economics lesson. There is no such thing as "keep the gasoline in the United States" in a world market. Oil companies are going to sell to the highest bidder to maximize profits. It's called capitalism.
"Export only what we don't need to keep prices low" is a fallacy. Obviously we are only exporting what we don't need and it's a lot of oil! Since other countries need the gas and are willing to pay for it the price isn't going to be lowered.
"Let the other nations refine their own gasoline". Won't affect the price of crude oil in the least. Wouldn't affect prices here at home.
"I want lower pump prices, so stop exporting gasoline." Sounds like a call for government control of free market commodities. Is that what we want?
"America gives too much away to others." America is not giving away oil. Oil companies in America are sellilng oil to others. It's called capitalism.
Suppose you own an oil company. Should you:
1. Sell your oil only to Americans at $50 a barrel.
OR
2. Sell your oil on the open market to Americans and other countries for the going rate, currently $108 a barrel.
Furthermore, if oil production were to increase and demand stay static, the price of oil would decline, to the point where some oil drillers would stop producing oil--it wouldn't be profitable for them to continue to drill. Conversely, when oil prices rise like they are now, more oil exploration and drilling will occur because it is profitable to do so.