If we truly had an equal playing field I'd be fine with income inequality. But we don't. After all, if everyone was allowed to succeed or fail on their merits all of Wall Street would've been done and buried back in 2008.
Instead, what we have is a whole game seems to be rigged to allow a small subset of the very wealthy to basically defraud people, with no repercussions. For example, when Alan Greenspan went public with the recommendation that fixed rate mortgages were a relic that were costing the average person unnecesary interest costs back in 2004 a few months before he proceeded to raise interest rates 17 times one can have a tough time believing that the average person was on a level playing field with the bankers that ended up reaping so much extra income as interest rates rose over the next couple of years. And then the housing bubble burst but the banks got trillions of dollars in assistance to keep from crashing, yet all the little people were left to go into foreclosure and lose their homes. THat's not equality, that's having the deck strongly stacked against the little guy in favor of the very wealthy/powerful banks.
Or when the banks managed to jam through congress the bankruptcy reform bill that made student debt no longer expendable in bankruptcy at the same time that tuition costs are soaring, the amount of college costs that are borrowed to be paid for and 'for profit' schools that don't adequately prepare students for a career are getting a larger and larger portion of education dollars by helping students get these loans that will haunt them for forever if they can't pay them back. Yes, people can avoid these pitfalls (I saw the housing bubble for what it was well before Greenspan acknowledged it) but when most of society, including all the talking heads on tv, are calling what's going on normal a lot of people are going to get sucked in and defrauded. After all the people on tv are supposedly 'experts'. The ability to figure out that these supposed experts are just hucksters trying to rip one off is not something that is taught in school.