Would Oil Independence Really Make a Difference?

     So one thing I have been pondering as of late is, would oil independence from the Middle East, on the part of the United States, really change anything? Everyone talks about "weening us off of foreign oil," so that if chaos breaks out in the Middle East, we wouldn't have any worries. Saudi Arabia cuts production? No biggie. Iran decides to close the Strait of Hormuz (where a massive amount of the global supply of oil passes through every day)? No problem. The flaw with this however, as I see it, is that this view ignores that oil is priced globally and that we have a global economy. The price of gasoline is to a good deal determined by the global supply of crude oil. Now as it is, the United States already gets most of its oil from Canada and Mexico (we don't get most of it from the Middle East as many think, it's just that the ME supplies enough oil to America to really cause harm if the supply were to be cut, and it supplies a major portion of the global supply of oil). So even if the United States was able, through increased domestic production let's say, to make it where we are independent of ME oil, where our oil comes solely from domestic production, Canada, and Mexico, well how does that separate us from the global oil supply? If chaos occurs in the Middle East that cuts the supply of oil there, that still does at least two things:

1) Yanks up the global price of crude oil, which will affect oil and gas prices in the United States

2) Tanks the rest of the global economy that is flat-out cut off from the oil it needs, which then in turn tanks the American economy as well.

So the only real solution to the problem of the Middle East I would think is to make the entire Western world independent of Middle Eastern oil. But I do not see that happening anytime soon.