Here's the interesting thing: the fact that QE and lowering interest rates almost to zero has worsened inequality, does not mean that raising interest rates will help reduce inequality.

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Critics, often for good reason, are concerned that the Fed is wielding its vast powers in the interests of the banks and not in the interests of the people. After the financial crisis, Americans have perceived that the banks have been bailed out, but a significant proportion of the population is still in serious economic trouble.

QE and other aspects of Fed policy increased inequality pretty significantly. This is reinforced if you take into account all the other non-standard measures the Fed used to bail out the banks early on in the [2008] crisis.

People in America get really angry at the Federal Reserve and at the "money system" in general during economic crises. The Fed draws hostility because of its power, its insulation from democratic accountability, its lack of transparency, and because of its historical and structural connections to finance.

The impact of QE on generating more lending by Wall Street to Main Street and in generating more employment and increasing overall investment in the economy is quite modest. QE probably limited the initial collapse of the economy in 2008, and likely had a very small positive impact on economic growth, but its broader impact on jobs and growth in the economy seems not very big.

Initially, QE contributed to a pretty significant increase in inequality. It raised asset prices, which are owned primarily by the wealthy, while having relatively small if any positive impacts on bank lending, employment, wages or economic growth, so ordinary people haven't had much help. By the third round of QE in 2012-2014, the effects had likely muted quite a bit. There were probably not big impacts on asset prices from QE and the positive effects on employment growth might have strengthened somewhat.