Hmm, not income inequality, that's the current system. Just sitting on bitcoin doesn't grant you any more bitcoin. Sitting on the federal reserve board (shareholders) does grant one more dollars, however.

If there are people working night and day and their offered goods and services still can't convince a single person to part with their sats, that's a separate problem and probably means those goods or services were never really needed in the first place. To be sure, I think modern society is full of businesses marketing such things, and doing away with some of it would do us all some good. There's no point in doing extra work, creating disposable crap that nobody really needs if they were to actually stop and think about it.

To be fair, there is quite a heavy distribution inequality in bitcoin, but there's every indication that it's evening out over time. That's the market just doing its thing.