Gentiles would even bring their sacrifices to the Temple in Jerusalem. Rabbi Elijah Benamozegh writes:

In the Jewish doctrine relating to sacrifices, we find an implicit statement on the subject of the Noachides.  It is the principle that sacrifices offered in the Temple by Gentiles ought to be accepted, whereas those brought by apostate Israelites must be refused.  This obviously assumes that the mitzvot of the Mosaic Law are not binding upon Gentiles, for no special authorization would be needed for a practice which was not only a right but an obligation.  When a Gentile offers such a sacrifice, he is observing part of the Law voluntarily. [Israel and Humanity p.246]

What should have been Noahides worshipping along side of Jews in synagogues with the same religious faith (varying in personal obligations), became a totally new religion.  We know from history that Sunday observance among the Gentiles was practiced almost from the beginning, and the belief that a Gentile SHOULDN'T keep the Sabbath may have been a contributing factor in this.

Soon Gentiles were meeting in their homes, and eventually set up "churches" as places of worship for the new faith. After the Jews were driven from Jerusalem, the Gentiles saw this as a sign from God that now THEY had become the chosen people, and the split became firm and permanent.

Again, Rabbi Benamozegh writes:

It is not surprising that those Jews who, while believing in Jesus, still did not intend to give up the Law for him, were alarmed by the conversion of that mass of pagans who, in their ever-increasing numbers, threatened to destroy Mosaism with the rallying cry of the new Christianity: "The Law is abolished!" [Israel and Humanity p.244]

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