The data is a bit misleading. I'll break it down into two parts.
1. Our most influential energy partner is actually Canada, not Saudi Arabia.
All of OPEC's member countries, of which there are 13 of them, only account for 35% of all oil imports into the US at 3.24 million barrels a day. Of that, Saudi Arabia, Venezuela and Iraq are our top three importers of OPEC oil at 2.33 million barrels a day (with 1.17 belonging to Saudi Arabia, 0.79 belonging to Venezuela, and 0.37 belonging to Iraq, or rather 13%, 9%, and 4% of all US imports) Canada, on the other hand, exports 37% of their oil to the US, or 3.39 million barrels a day into the US.
Then you might be asking, what about non-OPEC Persian Gulf states? Taking their 1.88 million barrels of oil into account, even if OPEC cuts off production, Canada actually picks up the slack for what ever OPEC leaves behind because they might (I don't want to get caught in a quote trap) increase production to make up the difference.
2. Our production capabilities are increasing.
Please take the time to read the following chart before proceeding:
This is the most recent data on oil production in the US. We produce over 250 million barrels (year over year) over the two sites listed on the chart. As a result, our reliance on foreign oil is becoming more and more like a myth than it is like a strength of our economy. Another factor to consider is that OPEC themselves do not necessarily control the price of oil. They manipulate the futures market, which actually DOES set the price of fuel in the long run. There is not enough data available to me that shows one way or the other that we are actually decreasing our imports of OPEC oil, however, there is enough data available here that shows that regardless of what OPEC does in the future, we do have the reserves necessary to combat this for a while.