Bitcoin is the future. Does it solve the underlying problems of inequality providing utopia land? Possibly not. However, it solves the constant devaluation of currencies by governments all around the world. The world financial system is built to ensure a specific few groups of people get richer and more prosperous. That stops! Period!
bitcoin as a currency is not meant to do either one of these. it can't fix the "inequality" because it is not equipped to do so and the inflation issue that exists with fiat currencies doesn't exist in bitcoin just because of its controlled capped supply but that is only a very small thing compared to what bitcoin really offers.
bitcoin is meant to address the centralization issue with currencies. so it provides a censorship resistant global payment system that is also fast and secure.
I agree, BTC is a currency on its own that has not ties to 'inequality' (at least the type discussed above' whatsoever as in the end only the people who can afford BTC buy it, people who don't have the money don't buy into BTC. However, by this logic all else excluded this may lead to the putative dilemma of BTC and cryptocurrency in general widening the inequality gap even further.
This gap will consist initially of obstacles from inability to gain access, then move up in terms of finance (to be able to acquire it) and lastly at the level of technological understanding and innovation.
The division within sets/classes of people I can only envision it to be getting bigger and bigger.