1) Equality of opportunity will never lead to equality of outcome. Our current politics around equality are fraudulent. Different people have different attributes. It doesn't mean one group is better. It just means people are different. For example, the NBA will never be dominated by players of Asian descent. Another: you will never see women asking for equal opportunity for jobs like working in the north sea on offshore oil rigs.

2) We can use words until the end of time to weigh the merits of state-forced equality. Same could be said about anything else that is non-scientific in nature: i.e. we could also argue about the relative merits of state-forced equality in communism vs capitalism in the same way. You can never prove anything this way in non-scientific fields, and at best all that can be done is hope to convince the other person that your reasoning is superior. However, before we got to that point, I'd even reject it on moral principle: it is immoral for government to enforce racist or sexist policies that discriminate against certain groups of people. Yes, it's in the name of moral outrage (equality), but note government-sanctioned use of force always comes with an argument of moral outrage, even if it is almost undeniably immoral, i.e: (America funding Jihadists in the Syrian War, Vietnam, Nazi Germany, the Opening of Japan, the Inquisition, etc., etc.).

Further on #2, one of the insights of modern economic theory has been that it can many times be actually better to make adjustments to free market outcomes ex post rather than use heavy handed regulation to force an arbitrary result ex ante. If I were king, I'd much rather see everyone with free access to healthcare, housing, transportation, and education than focus on how many women are working in male-dominated roles like offshore oil drilling in the north sea (or coding, whatever arbitrary field it happens to be).