When I was young, the discussion was always about the quality of life for the poor. The inequality problem is a fairly recent thing.
When people are free, inequality is the result. To remove inequality requires a totalitarian government.
Be careful what you wish for.
Are a lot of people actively and actually suggesting the full removal of inequality? Finding ways to reduce it is a very different thing.
Instead, examine government policies that hold people back from being free. For example, making it difficult for a business to employ people.
The communists had equal opportunity. It didn't work out so well.
The magic ingredients are:
1. equality under the law
2. freedom
Also progressive taxation (a moderate position) which avoids the authoritarian measures of both left and right while counteracting the cancerous effects of exponential growth.