Earlier quoted context omitted.
Eliminating inequality of taxation means flat tax instead of progressive tax. That would require either substantial reduction of the government expenses or substantial raise of the taxes for low incomes. That probably won't be very popular.
The only "fair" tax type is VAT for humans. Buying a SUV -> You pay 10,000 USD in taxes. Buying bread -> You pay 0.01 USD in taxes. We could get rid off income tax at all and just increase the VAT to ~20 - 50% depending on the type of the product. This way it is almost impossible to cheat. Solving taxation for corporations still an issue though.
Most countries with VAT end up with complicated rules for exemptions for basic goods as a result, to try to balance it better.