> everything around how we tax these 2 forms of income is set up to beget inequality

No it's not. Most people don't pay capital gains because things like houses don't have capital gains applied. I.e. the rules are set up so that most people avoid capital gains tax when they gain capital. Everyone pays income tax with the same rules, and some people pay capital gains tax as well if their risks pay off. We tax the profits and let investors absorb the losses.