Dude, we are faaaaaaaaar from equal opportunity. One of the largest predictors of one's ability to accumulate wealth is still the wealth of their own parents. The U.S. is one of the countries with the highest link between parents' and a child's wealth.
I recommend „Capital in the 21st Century“ by Thomas Pikkety, an economist who has deeply studied wealth and income equality using historical data spanning three centuries. This book has all the evidence you need.
Spoiler alert: income from wealth is on its way of becoming close to being as concentrated as it was in the 19th century (especially in the US), and the share of income from work in total national income is decreasing almost anywhere. So yes, increasingly you can only accrue significant wealth by already having significant wealth.
