Race - Not especially, no. If I were running that convenience store you described, yes, the word "Latino" did pop into my mind. But it's not because of their race. It's because the non-white American populations are relatively poorer, so crime rates are higher. If I saw a group of white people in hoodies and another group of hispanic people in business suits, I would certainly be more worried about the white people
Gender - More so, but still, no. The stereotypes you named still do exist, but they are perpetuated by the members of each gender. Men don't generally want to be babysitters, and women don't generally want to oversee building renovations. Yes, if I saw a man applying to be a babysitter, I would be surprised, but I wouldn't really hold it against him, at least, not intentionally. As for the pay divide, that's easily explained by the fact that a lot of women take maternity leave. Those lost six months, especially in your 20s and 30s, do mean a lot for career progression, and in general, women will focus more on their families and less on work. That is not a hard and fasty rule, and plenty of women are devoted primarily to their careers, but they are in a minority
Social Class - Yes, and this will be true unless and until we achieve perfect Communism (which is, of course, impossible). Class is the only one of the three which is self-defined. Yes, at birth, you will be a member of a certain class. But it's relatively easy to change that. Class is the quality of your education and your job, how well you speak, your interest in intellectual matters. It has nothing to do with money, but more money does correlate with higher class. So, yes, there is a stigma against the lower classes, but that will always be true.
For the other two, the stereotypes will last only as long as members of each group continue to further them.
(Former) Lead Moderator and (Eternal) VGC Detective 
