Dressing Orthodox in Public While Not Keeping Kosher
Question
If a Jew were to eat at a non-kosher restaurant, is it preferable that he not wear a kippah while doing so in order to not mislead others?
The reason I am asking is because I personally know a couple like that. They wear the costumes of Orthodox Jews (the husband wears a kippah and the wife wears an orthodox style hair covering and long skirts). But they dine out at non-kosher vegan restaurants. They are not intentionally being rebellious. This is just the level they are at.
The first time I met them, I saw them entering a non-kosher vegan restaurant in a shopping center I frequent. Seeing what appeared to be an orthodox couple entering this restaurant, I asked them if the restaurant was kosher because I wasn’t familiar with it being on the list of kosher restaurants in town. They explained to me that it has no supervision, but they are comfortable eating at almost any vegan restaurant. This encounter led to a friendship with this couple in which I learned they also drive to synagogue on Shabbos when the weather is not conducive to walking.
When non-orthodox Jews enter non-kosher restaurants, we think of this as normal behavior on their part. But the very sight of a man in a kippah entering a non-kosher restaurant might confuse others into believing it is kosher. So wouldn’t it be better if a Jew who plans to eat there remove his kippah before doing so?