There is no such thing as a dangerously low interest rate. The atmosphere won't suddenly catch on fire if you don't get a certain percent of risk free money. Additionally, "those who save" is not part of their mandate. They target unemployment and inflation.
>The Fed is also here to make money for huge banks and corporations by making credit so cheap.
Cheap credit isn't good banks anymore than it's good for individuals. Low interest means low mortgages, etc. If it's good for businesses, it's good for people for the same reason.
>In the long run this may not be the best for employment.
There hasn't been evidence otherwise so far. There has been plenty of evidence of money shortages causing lots of unemployment (see all busts of the early 1900s).
>Even if it is, it won't be for wages and wealth disparity.
High interest is absolutely terrible for wealth disparity. It's literally free money for people with money.