Early differences between Christianity and Judaism
The legal status of Christianity and Judaism differed within the Roman Empire: Because the practice of Judaism was restricted to the Jewish people and Jewish proselytes, its followers were generally exempt from following the obligations that were imposed on followers of other religions by the Roman imperial cult and since the reign of Julius Caesar, it enjoyed the status of a "licit religion", but occasional persecutions still occurred, for example in 19 Tiberius expelled the Jews from Rome, as Claudius did again in 49. Christianity however was not restricted to one people, and because Jewish Christians were excluded from the synagogue (see Council of Jamnia), they also lost the protected status that was granted to Judaism, even though the said protection still had its limits (see Titus Flavius Clemens (consul), Rabbi Akiva, and Ten Martyrs).
From the reign of Nero onwards, who is said by Tacitus to have blamed the Great Fire of Rome on Christians, the practice of Christianity was criminalized and Christians were frequently persecuted, but the persecution differed from region to region. Comparably, Judaism suffered setbacks due to the Jewish-Roman wars, and these setbacks are remembered in the legacy of the Ten Martyrs. Robin Lane Fox traces the origin of much of the later hostility to this early period of persecution, when the Roman authorities commonly tested the faith of suspected Christians by forcing them to pay homage to the deified emperor. Jews were exempt from this requirement as long as they paid the Fiscus Judaicus, and Christians (many or mostly of Jewish origin) would say that they were Jewish but refused to pay the tax. This had to be confirmed by the local Jewish authorities, who were likely to refuse to accept the Christians as fellow Jews, often leading to their execution. The Birkat haMinim was often brought forward as support for this charge that the Jews were responsible for the Persecution of Christians in the Roman Empire. In the 3rd century systematic persecution of Christians began and lasted until Constantine's conversion to Christianity. In 390 Theodosius I made Christianity the state church of the Roman Empire. While pagan cults and Manichaeism were suppressed, Judaism retained its legal status as a licit religion, though anti-Jewish violence still occurred. In the 5th century, some legal measures worsened the status of the Jews in the Roman Empire (now more properly called the Byzantine Empire since relocating to Constantinople).
Another point of contention for Christians concerning Judaism, which according to the modern KJV of the Protestant Bible, is attributed more to a religious bias, rather than an issue of race or being a "Semite". Paul (a Benjamite Hebrew) clarifies this point in the letter to the Galatians where he makes plain his declaration ″28There is neither Jew nor Greek, there is neither bond nor free, there is neither male nor female: for ye are all one in Christ Jesus. 29And if ye be Christ's, then are ye Abraham's seed, and heirs according to the promise.″ Further Paul states: ″15Brethren, I speak after the manner of men; Though it be but a man's covenant, yet if it be confirmed, no man disannulleth, or addeth thereto. 16Now to Abraham and his seed were the promises made. He saith not, And to seeds, as of many; but as of one, And to thy seed, which is Christ.″ Many misled Christians read Matthew 23, John 8:44, Revelations 2:9, 3:9, and wrongly believe that the term "Jew" means a Hebrew or a Semite...it does not, rather, it refers to the religious belief in Judaism.  A perfect real life example of this clarification is "Brother Nathanael" a Christian Hebrew.