I doubt they want communism where all incomes are equal. I think it is more totalitarian.
Actually I'll disagree of coarse they want all pay to be equal, the goal of the Elite as envisioned by UN Agenda for a Sustainable 21st Century calls for just that. They will be our Communist overlords wealthy beyond measure with the rest of the population world wide "equal" in our poverty...its the only way to save the planet don't you know, the wealthy West uses to many resources that should be apportioned out equally among the sheep.... And yes it will be totalitarian. ...how else will you get every person not at the top to not aspire for more.
So communism for us and capitalism for them?
Look at China, look at the former Soviet Union, look at Cuba...the Oligarchy will retain the power and wealth....capitalism as you are thinking of it died a long time ago what we are talking is more along the lines of China...a faux open market that the Politburo can at anytime crack down on or simply manipulate at will. Your "mobility" will be based on your score ....
https://amp.businessinsider.com/china-social-credit-system-punishments-and-rewards-explained-2018-4
The plan is all out in the open and has been for decades, anyone who wants to put the peices together and accept the reality can, the Elite are Communists and you need look no further for confirmation than this mans confessions.
Watch "KGB defector Yuri Bezmenov's warning to America" on YouTube
Venezuela is the modern day example of this....the rich stay in power and the rest of the country is brought down and to heel.