@tempest Keep in mind it's 1964. There's no tolerance for gays. In fact, the word's not really in use yet. Homosexuals are considered deviant by most of the government, the country, and the world. There are 2 'alternative' clubs built on the grid. One's a dive where you can find drag queens that gets raided periodically and ICly has to move locations. The other is a high class place that caters to the outcasts of society: gays, lesbians, mutants, blacks, etc. Both are guarded by mob enforcers who pay off the cops. Stonewall hasn't happened yet; in fact, it doesn't exist yet. It's still a restaurant, not a bar. So basically, you're not going to see it in public.
As for gender swaps, they can be particularly interesting because of the same reasoning. Like gays, blacks, mutants and other minorities, women are still second class citizens. Women with power are very rare. (By power I include things like being a CEO, a police detective, etc.) If they happen at all, they're going to be the subject of prejudice and/or resentment. We make sure this is noted during the app process and is usually a flaw or mentioned in the BG. A female Cap would be problematic since women combatants were not a thing in WWII and would certainly not be the subject of super soldier experiments. If possible at all, there would need to be a lot of consultation with staff on how that would work.