I am of two minds on this. First, I really think looking out into the water and seeing a bunch of rigs is really ugly. That's what it is like in Louisiana, Mississippi, Alabama, Texas.
Also, if you look at the oil reserves in various places, the entire coast of Florida is estimated at 7 trillion barrels. Quatar, on the contrary, is estimated at like 300 trillion barrels. (I am quoting from memory, my numbers may not be right, but the magnitude of the difference is about right). Plus, to get to Florida reserves requires off-shore drilling, much more expensive than Quatar which is land-based, and also not very hard to get.
So, to summarize - drilling domestically is much more difficult, much more expensive, and very ugly. Plus the magnitude of what we can recover is dwarfed by supplies in other parts of the world.
That being said, it would be nice to get away from importing of oil. Also, would be nice to get away from importing a lot of other things. Our trade deficit is ridiculous, we no longer make anything in this country. Oil is just one of many things that we need to start producing (again) ourselves.