While a considerable number of Muslims in the U.S. are African American, and most of the African Americans are engaged in limited income jobs, Muslim immigrants in the US have relatively higher household incomes -- partly, a consequence of liberalization of U.S. immigrant policies in the 60s that opened the doors to skilled and educated immigrants. Consequently, many in the immigrant Muslim population did not face the same level of economic, political, and institutional discrimination termed "structural racism", as faced by many in the African American and now predominantly in the Mexican immigrant communities in the U.S.
Here, then, lies a promise in the recent spate of racist attacks against Muslims in the US. There is a parallel in racism meted out to Muslims, African Americans, and Latino immigrants. It is hoped that many in the American Muslim immigrant community will use the present climate of Muslim xenophobia to challenge the trap inherent in their own class privilege and the status as a high achieving "model minority" that often creates a distance from those less privileged in the community.
Later
The first Roman attacks on Jews came in the 1st century BCE, before Christ and before the first rebellion against Rome (66 AD). Apion and Cicero being among the earliest. The original Roman view of Christianity would have been as yet another squabbling Jewish sect. But slowly they were seen differently. Even before the first Jewish revolt Emperor Nero singled out Christians, not Jews. I am not sure why. At the time Jews proselytized, but perhaps Christians were more irritating about it so got treated differently.
After the second Jewish Rebellion (against Hadrian) Roman attitudes became even harsher towards Jews... but Jews also could be completely tolerated. Still, the center of Jewish culture shifted away from Roman territory to, ironically, the Babylonian region of the Parthian (later Persian) Empire. When Rome became Christian, the treatment of Jews declined even more in a tradition that lasted until the reformation. Often, protestant groups were more tolerant than Catholic groups. Bottom line, though, anytime church and state get blurred too much, Jews don't do so well.