Well, that's where you are wrong. More expensive gas maybe just a nuisance for you, because you have reserves and you'll just cut spending. First aspect of it that when everyone is forced to cut back spending because of energy prices, we will have another round of recession (since we still have that obsolete consumption-rewarding system).
However, in poorer parts of the world higher energy mean food costs increase over a point they cannot survive any longer - we are talking about people who have barely enough to eat (and I don't mean 3000kcal/day eating like in America or so, I mean really a bare minimum), so these people are pushed to revolt, and we can see it spread over the Middle East and Northern Africa. Once pro-American regimes in key states (like Saudi Arabia) topple, expect oil to sharply rise, because the new forces in power won't be so enthusiastic to exchange precious resources for overpriced trinkets, like Saudi king, for example.
Basically, we see increasing tension in the system due to the shrinking per-capita energy allowance globally. While the process is gradual, it can "snap" in a similar way a steel rod snaps under increasing pressure - suddenly and violently. Greatest problem is that western government, so called "elites" from mostly economic circles, and with them majority of western public live in total denial of these problems.
Yeah, I'm sorry, I forgot about all the revolts that took place a couple years ago when gas prices spiked...
Pinning the issues in the ME on gas is ridiculous, not to say that pressure on their economies generally is not an issue. But in any case, if the system in the 3rd world is unsustainable what is the solution? Poor standards of living have been in existence there for centuries, more gas, less gas doesn't matter. It's not even as though the transport of foodstuffs is really an issue either, at least not for Africa, because we (meaning the West) have been dumping food on them for decades, to no avail. Now we can agree that the problem is their despotic governments, and we can agree that the west has tacitly (and occasionally overtly) supported those governments, and that that is a bad thing.
But that doesn't get us past the part where more expensive gas really means much of anything for those countries. Sad to say, they are screwed either way. And that's still entirely beside the point that the notion of peak oil is nonsense, at least in the manner it is commonly used to attempt to scare people.
Now, I'm not some oil company shill, I do strongly believe that we (again as the west, but the US in particular) need to diversify our energy portfolio, and in particular move away from importing oil from those same ME countries you are concerned about. We need renewable energy solutions, we need new/more nuclear plants, we need to begin the transition away from ICEs being the standard.
But, to think that regime change in SA would mean no more oil is just bizarre. It's not as though their oil has any particular value to them, since they lack the industry to refine it into anything useful. They need to sell it, if not to the US then to China or Europe, or Russia. Who else is there? But sure, it would be disruptive, it would drive the speculators crazy (and lets not ignore their role in driving the price of oil up), so we need to find alternatives to ME oil, but not because of peak oil fear mongering, because it is the smart thing to do.