In terms of frequency of antisemitic acts, Christian Europe under the popes and kings was far worse than the Muslim world. It is not even comparable. In terms of ferocity, each society could give the other a run for their money.
Yemen is an interesting case: The Himyarite viceroy Harith Ibn-Amru converted to Judaism around 380 C.E. I think it was Tub’a Abu Kariba As’ad, the next king, who made Judaism the state religion. Dhu Nuwas was the last Jewish king of the Himyarites. He died in 527 and the Aksumites took over. Yemen is a wild and backwards country, and it grates on many people there that the country was once a Jewish kingdom.
Of course, countless acts of Jew-hatred were committed by the Muslims. I heard from an elderly Moroccan-born rabbi that before the French colonized Morocco in 1912, the Muslims there would kidnap Jewish girls from time to time who would never be heard from again.
Rabbi Dr. Herbert C. Dobrinsky, a scholar of Sephardic history, wrote that in Iran, there was a barbaric annual observance that included government officials kidnapping a random Jew, binding him in a catapult, and launching him into a field where he would meet his death upon impact.
One can trade accounts of horror until the end of time. The English knights of the Crusades disemboweled pregnant Jewish women. Muslims were not far behind in terms depravity and cruelty. After Israel won the Six Day War, at least one male from every remaining Jewish family in Egypt was arrested and sent to the Abu Zabaal Prison in Cairo. The rabbi was crucified on the prison gate under which the Jewish men and boys had to pass. Once in the prison, the men and boys were given female names and raped. What else the Egyptian monsters did to our brothers is not appropriate for this forum. The Times of Israel has an archived article about it.