The hair dresser example is the worst example you could have thought of, given the importance of hairdressing for the African-American population. Or just see how parents and very serious people freaked out when teenagers started keeping long hair during the 60s-70s.
Hairdressing is extremely political.
As for the car mechanic example, I wouldn't be black and have my car "repaired" by a racist who would overcharge me out of spite and could sabotage my brake lines. Or just talk with women about their experience with car mechanics and see how much their political opinions on women don't matter.
Again, you can afford not to engage with politics at the hair salon or the garage only because you belong to the dominant group.
Start talking to people who aren't like you and you will discover a lot of things you never see in your life. That's what it means to be "woke": it is to awaken to the experience of people who are looked down upon.