How about instead of taxes, we have a $10,000 per year subscription fee to live in society.
Maybe different depending on area, like $20,000 a year to live in NYC but only $2,000 per year to live in a rural village.
If you can't afford the fee that's OK, it just means you have to live outside of the developed areas and don't benefit from any services provided by the government. But you are free to set up a tent in the woods and live off the land.
Would this mean that a person that makes 50k/y most pay 20% of their income while a billion$ company still pays 10k? I don't think this helps with wealth inequality.