In Pesachim we read of a case where a Jew shares property with a non-Jew, and the gemara says he should minimize his bedikah, so that the non-Jew should not suspect him of doing keshafim (withcraft).
In our days, one must realize that for many reasons (which may have nothing to do with us, and more to do with Islamic misbehavior) religion has a very bad rep. I personally believe, although I am not a Rabbi, and you must consult one, that any practice which has the slightest possibility of making us look primitive, boorish and superstitious should be discontinued, especially when many poskim hold it is darchei emori in the first place.
We must realize that only 7% of Jews are frum these days, and we have lost 93%. We are not doing well. When the nonfrum see certain practices that offend them, they make total ridicule out of our Torah C”V. I know this first hand, having met these types. This was one of the reasons the Reform movement began, not necessarily because they didn’t want to keep mitzvos, but because they were totally embarrassed by the way the Jews were perceived by the outside world.
In my lowly opinion, we must make the utmost effort that everything we do looks appropriate, and we dress and act 100% neatly and refined, or we make a terrible chilul hashem. Perhaps we would be better off using money.