Would you alter your appearance (in a way you don't like) for a job that would be either a lateral move , or a replaceable job?

Some jobs I’ve applied for have really weird facial hair policies. One place said I could have a mustache, but nothing else. I’ve had my goatee / beard for a long time, either short cropped, or currently pretty long. I feel like it’s part of my identity or something. Can’t explain why, but I would feel naked , without it.
I’m ok with covering my tattoos (although it’s hard) and needing to be well kept. Although I think covering tattoos is kind of old thinking now too , unless the tattoo has nudity, profanity, or offensive icons, I think it should be up to the management of each individual store to enforce a coverage of the image.
I would understand the facial hair thing a little better if I was applying for a food/beverage or surgery unit. But WTF does a person’s appearance have to do with work ethic, punctuality, and competence?

For example, if a Jewish person couldn’t work somewhere because they wear a yamica ( hope I spelled that right. ..) Isn’t that a form of discrimination similar to freedom of speach, and expression?

I understand why companies might have these certain rules, but would YOU change for employment of a lateral move type job?
I won’t.