Dear Reb Eliezer,
Ladies are Jewish. Give them alliyos. Huh? Seriously, let’s say there is someone in our shul whom we know is a safek yisrael. Is there an issur to give him an aliya? I’m aware that we should avoid it.
Jewish dress proves nothing. In halachah there isn’t any concept of Jewish dress. We have been through this one a number of times, and you still have not brought anything real. See the classic interpretations on the verse in Nechemia. The foreigners clothes refer to specific clothes worn for idol worshippers. Rashi etc. did not even consider that there could be a problem with dressing like a non-Jew.
Rov goyim not coming to shul, is not a rov. And if it was, it should prove that this fellow is a goy. He came from those outside the shul.