Just because it is the natural tendency of people to try to get the most for the least, does not mean that it results in a better society.
The "market" as you call it was once closed due to distance, and so prices were local. The cost of labour overseas was irrelevant if the labour being done was something that could not be exported. In a global market, however, this interconnection of which you speak is a myth. Yes, they're interconnected, in a sense. That is, you can buy and sell across borders easily. However many of the interconnections are severely imbalanced. Differences in cost of living and valuations of currency mean that when the "market" determines how much shoes cost based on a fair wage in Malaysia, shoe workers in Tennessee starve because that "fair wage" in Malaysia is not the same as a "fair wage" in Malaysia.
Ultimately, the world in which you envision is one in which the unfortunate who can't suck it up and suddenly become as smart as you perceive yourself to be, or as lucky as you have been in business, should simply die off. I see people saying that they can "do so much better" than the peons on minimum wage. Chances are, if you CAN do better, you ARE doing better. I can certainly make more than minimum wage. That isn't to say I want to see it done away with. The less capable in society CANNOT simply "grow a brain" and often, menial labour is all they will EVER be able to achieve. If they have to compete on a global scale (as is increasingly so) with workers whose cost of living is 25% of their own, they will NOT be able compete. Are you saying the American poor should move to a 3rd world country for a better standard of living?
What I never see addressed by those arguing your position is the problem of the disparity in currencies in overseas markets. If goods/services were based on the same currency (whatever that currency were) with a TRULY open market (no tariffs, import taxes, etc), then wages WOULD reach an ideal state as you imagine. However, in the real world, there are artificial economic barriers that make the playing field extremely uneven.
Would you show up to a poker game where your opponents were all allowed to hold an extra card up their sleeve, but you weren't, and expect to win anything? Of course not, if you've got half a brain. What we're trying to right now is show up to the world economic "poker game" and play by an "open market" set of rules while a large portion of the world is still protectionist. That puts us at a severe disadvantage. As you said - nobody would pay $50 for a pair of shoes which they could get for $10 across the street. You wouldn't pay $60k for an employee in Michigan if someone in a 3rd world country could do the same job for $15k. But due to cost of living differences, the overseas worker often has an "extra card" up their sleeve. That $15k is WORTH a lot more there - artificially - than the $60k is here. And ultimately, that spells trouble for the entire U.S. economy.
If you want to take away minimum wage - and arguably that would be a good thing under the right circumstances to do so - it would NEED to be accompanied by a balancing of the so-called "open market". This could be achieved by reinstating protections on the domestic economy (tariffs, etc), OR by leveling the global playing field by requiring participants in the open market to play by the same set of rules. Give me a single currency or give me a protected economy. Trying to have an open market without addressing this issue is not going to succeed, with OR without minimum wage.
Btw, my college education is in History. I have researched and written much over various economic systems, and honestly, they all have their flaws. I'm no more a socialist or communist than I am a capitalist. I'm a REALIST. And what the reality is, is that most of our economic theory is currently based on an industrial revolution valuation of labor, which is increasingly getting farther from reality. Capitalism depends on labor having enough worth on its own merit to support the working classes. Communism depended on the worker having enough importance to wield economic power, and thus political power, over the ruling classes (which did not work). For a good part of the 19th and 20th centuries, this was the case. However, even capitalism as you and many envision it is failing modern society. Yes, you are successful. Many do become successful under capitalism, and in that sense, it is better than what came before it. However, the value of basic labor is dropping to the point, due to both technology and increasing populations, that those who are not intellectually capable of moving out of manual labor are increasingly finding themselves unable to make a living wage no matter HOW hard they work. Many of these give up, ending up on social welfare programs, which increase YOUR taxes. Cut them off, and watch crime skyrocket. People ARE being forced out of low-end jobs, and most of them do not have the capability to do any better. What do you propose we do with them? Seriously - I'd like to know. Maybe you can be the initiator of a new economic revolution.
I do grasp the problems which employers face. You must compete, and if your competitor is using programmers from Turkmenistan, you either have to offer a substantially better product, or find programmers in Rwanda who will work for even less than the Turkmenistani ones. I can see, unfortunately, the results of your struggle in the quality of my Object Desktop subscription. Since it is hard to afford to keep everything in-house, there are many components of Object Desktop which you have in the past outsourced (whether overseas or not I have no clue). The result is there is less consistency, less quality control, and a more difficult time updating some of the components. As an EMPLOYER, you simply have to play by the rules everyone else is playing by, which means cutting costs to match theirs. I do not begrudge you that. However, as a VOTER, you can choose to change the playing field for both you AND your competitors.
My two cents, as I said before, is that the only way to curb the tide of this problem is to balance the playing field globally. If we're going to have a free market, then everyone has to play.