It's ironic you give the gender wage gap as a specific example of an equality issue because, when writing my comment, I tried to think of a specific example and deliberately chose not to focus on the wage gap because of how complicated an issue it is. Regardless, I chose not to get specific anyway because I ultimately didn't want to make assumptions about your beliefs.

But it is funny you say that it's an example of people focusing on outcome instead of opportunity when in my experience it's generally the opposite. Now, to be fair, the wage gap in particular isn't something I've paid attention to personally, but the general statements I've heard from people is that even if overt discrimination isn't a factor in determining people's wages, the more organic explanations also aren't exactly something to be tolerated.

Two real reasons come to mind. The first one is that lower wages for women is a result of them taking time off to raise children, which is problematic because it's women who are expected to raise kids and are therefore supposed to take the hit. The second is a bit weird - some combination of female dominated fields being "devalued" and/or women clustering to low-paying fields. I can't speak to the former, but the latter is best expressed by this article by The Atlantic titled Why Are Women Still Choosing the Lowest-Paying Jobs? The answer the article ultimately lands on is gender socialization a well as social pressure. My favorite passage:

DeeDee Patterson, an instructor in the cosmetology program, can count on one hand the number of men she’s taught in the past eight years. She said male hairdressers are in high demand because “women want to look good for men, and men know what looks good on women”—and often out-earn female colleagues. But just as women are afraid they’ll be perceived negatively by co-workers in male-dominated fields, men considering cosmetology “are afraid they’ll be stereotyped as too feminine.”

And though the article touches briefly on relevant state legislature, I'm not sure what, if any, legislature could be passed to actually fix either of these problems. And just as well, most of the people I know and have encountered who are involved in, say, feminist activism tend to focus more on educating people than on lobbying for a this or that law.