Last 35 years? The US has been arguing about and getting distracted from inequality since it was just colonies. In 1773, Boston merchants (smugglers) started complaining about liberty when all they really wanted was to keep the price of tea a bit higher. [0]
If you're serious about wanting change, you should appeal to the values of the capitalists. Don't complain about inequality, complain about inefficiency. A capitalist economy is supposedly (and probably) more efficient than a command economy, because a centralized bureaucracy is worse at allocating resources than a decentralized market. The central tenet of the free market is that decentralization is more efficient.
So what happens when a capitalist accrues more wealth, as is natural for some to do with luck or skill? Eventually, the most skilled or most lucky have most of the wealth. Wealth forms a log-normal or power-law distribution. It's natural and nothing to whine about. Unfortunately, this is an unstable system. As the wealth distribution becomes ever more long-tailed, what once was a free market becomes more and more like a centralized bureaucracy with a handfull of capitalists allocating resources instead of a handfull of bureaucrats.
Redistributing wealth, fairness aside, is simply the most efficient way to keep the market growing. It closes the loop of decentralization. Think of a Bayesian Meta-Bandit, a Bayesian Bandit [1] that selects a Bandit according to the probability that Bandit is best. No matter the history we've observed, the probability of our best Bandit in fact being best never reaches 100% and we always choose the lesser (according to our observations) with some non-zero probability. In the same way, the best societal strategy is to redistribute according to the probability that our best allocators (our wealthiest capitalists) might make a mistake or get unlucky.
Too much redistribution and we lose efficiency, because we're not giving the bulk of our resources to our best allocators. Too little redistribution and we lose efficiency, because our observed-best might either (1) just have gotten lucky in the past and aren't actually better or (2) might get unlucky in the future and we need a hedge against random failure.
Aaaanyway. Anyone who argues against redistribution needs to do some thinking about why capitalism works.
[0] https://en.wikipedia.org/wiki/Boston_Tea_Party#Resisting_the...
"Colonial merchants, some of them smugglers, played a significant role in the protests. Because the Tea Act made legally imported tea cheaper, it threatened to put smugglers of Dutch tea out of business."
[1] https://en.wikipedia.org/wiki/Multi-armed_bandit#Probability...
A Bayesian Bandit chooses actions according to the Bayesian probability that the action is best.