I don't doubt the author has his heart in the right place, but the idea is completely bonkers.
Among the various indicators of fairness, the simplest one is to observe the mean and the median income of the population: in a fair society those numbers must not be very far apart (this is necessary but obviously not sufficient).
Let's look at the 2010 report of the Census Bureau, and specifically at table A-2 at page 34. All numbers are conveniently expressed in inflation adjusted 2010 dollars. This is a rough summary:
Back in 1967, the mean income was $45,599 and the median was $40,770. That's pretty fair. The upper part of the curve contained:
100-150K: 4.6%, 150K-200K: 0.9%, >200K: 0.8%
Over the years (regardless of who was in charge), those numbers changed steadily to (in 2010) a mean income of $67,530 and a median of $49,445 and the upper part of the curve became:
100-150K: 12.1%, 150-200K: 4.5%, >200K: 3.9%
That's the real challenge: there's a significant portion of the population (some 20%) making more than twice the median income. It's not a bad thing that the country is getting richer, but when a part is getting richer faster than everybody else, then there's a problem.
Now, hoisting the minimum wage significantly would paradoxically obtain the opposite effect of what is needed: the mean would increase even further, but the median wouldn't move by one dollar. Of course, it would eliminate the poorest percentiles, and that's a good thing, but that wouldn't make much of a difference in the big picture and inflation would kill any good effect in a few years. Yes, because there's no escaping inflation... if Bob makes $10/h and his boss Alice makes $15/h, you cannot expect to raise Bob's wage to $15 by decree and leave Alice's untouched. Lest you want to see how she handles a pitchfork.
On a lighter note... if you think inequality is bad for us commoners, look at what happens upstairs...
so, 1% controls 20% of the wealth. Boo.
But then, the 400 richest Americans (there are 92 more billionaires not making that cut), control about 2% of the total wealth. So, in the context of the top 1%, 0.013% control 10%!
Quite the United States of Extremistan. :)