Exactly.

It leads back to "basic respect, kindness, lack of prejudice or superficial judgement, the age old golden rule of treatment for others as we would like to be treated" (earlier in the essay): equality --> mutual respect --> the maximum freedom that coexisting individuals can share simultaneously. It goes much further, too, to the structure and sanctioned functioning of a political process and an economy.

In short, mutual respect following from equality is all we need for justly governing society. That a 'Right" to liberty is also necessary for the just governance of society is a categorical error made by John Locke (Two Treatises of Government) in 1689, which got copied into the ever more famous Declaration of Independence of what would become the U.S.A.

The ultimate problem is that 'equality' is a value some people do not share. The answer for that problem is to recognize that a requirement of mutual respect follows from the observation that human beings have no choice but to effect choices, i.e., choose from perceived alternatives and take action to bring that choice to fruition (from Warren J. Samuels).

That is a fact of material existence that makes choosing integral to being human. A requirement for us humans to respect one another's capacity to choose follows from that.

For individuals, it all boils down to a handful of absolute prohibitions: no killing, harming, coercing, stealing, or manipulating (which includes lying, cheating, etc.) in our relations with other people in effecting any choice. A requirement for mutual respect in effecting choices can be readily extended to the structure and sanctioned functioning of a political process (the process of effecting choices for the community as a whole--as integral to the existence of any community as it is to any person) and an economy (the process of producing/acquiring goods/services--which is nothing but choices being effected).

If curious, "Can't Get Any Simpler" is a "2 min read" here in Medium with links to more about all that. Nothing I publish here is behind the paywall.