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ialdabaoth comments on On Walmart, And Who Bears Responsibility For the Poor - LessWrong
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Be careful that the same definition of "income" is being used in both cases; I believe that the definition Warren Buffet was using included capital gains (which is specifically not taxed as 'income', which is what your first link counts). Capital gains are still taxed at 15%, so if the top 1% gain most of their 19% share through capital gains (or if the share is higher than 19% when capital gains are included), then it's likely they ARE paying less.
http://www.mercurynews.com/business/ci_24065108/wealth-gap-widens-richest-1-percent-earn-biggest according to this capital gains bumps it up to 22.5 percent.
Which is still well below the top income tax bracket of 39.6%.
Given the income tax rates, capital gains tax rates, and the average proportion from both sources composing the income of the top 1%, the average rate of tax on people in that bracket, barring any use of additional tax limiting strategies, should be somewhat under 28%, the rate paid at the $87,851 - $183,250 income tax bracket. The very wealthy, whose income is more dominated by investment revenue, would tend towards a lower rate.
If we categorize the wealthy by total wealth rather than yearly revenue though, then the top 1% pays a much lower proportion of their total wealth in tax.
So while Walmart displacing jobs that leave employees in need of public assistance can be seen as a subsidy on the lower classes, it's not one where the wealthy are paying out either a majority or a disproportionate amount relative to their wealth.