This is my favorite quote regarding inequality.
"A society that puts equality before freedom will get neither. A society that puts freedom before equality will get a high degree of both."
― Milton Friedman
https://www.goodreads.com/author/quotes/5001.Milton_FriedmanHence, there is no benefit in trying to address inequality directly. It will be solved naturally if society has a high degree of economic freedom via the pursuit of self-interest.
And no, Bitcoin will not solve economic problems. It might help though to push economic freedom.