Isn't that more or less impossible? The whole point of a tax is that you take money from the broader population and spend it on something (a war, a road, libraries, public transit, food stamps, etc) that benefits only a subset of that population.
Taxation is, by definition, wealth redistribution.
Furthermore,
> Why is it ok to tax profitable businesses/people for the sake of equality?
This is a common misconception. Businesses don't pay taxes, people do. I don't mean " Apple doesn't pay it's fair share". I mean that the burden of the tax falls on the shareholders/owners of a business, even if the business is remitting the money. So, at the end of the day the question is not do we tax business versus individuals but rather a class issue: do we tax shareholders (who earn income from capital) versus labour (that is, people who earn their income through wages/salary).