According to "Beth Shammai" Halakhah, Noahism should be nothing but the first step on the path to joining the greater congregation of Israel. As a result, according to "Beth Shammai" Halakhah, for clerics, circumcision followed by complete Torah observance should be the goal. These points are in sharp contrast to Beth Hillel Halakhah which does believe in salvation for non-Israelites and makes circumcision the last step in conversion. There has always been a subcurrent of Rabbis who have maintained a tradition that "Beth Shammai" Halakhah will replace Beth Hillel Halakhah during the messianic era. According to [[Harvey Falk|R. Harvey Falk]], both Christianity and Islam began as misunderstandings of the "Beth Shammai" approach. "Beth Shammai" is the term given by Beth Hillel to the approach. Initiates call themselves Miqra Shammai, and "do" Qareana Shammai rather than "have" the written Mishna of Beth Hillel, although there are striking similarities between the two, there are also about 300 significant differences.
Liberal approach based on what its opponents have accused as being compromises for commercial and social reasons. Assumes that current religions are distorted Bnei Noach faiths. They postulate that certain early Christian leaders (such as Peter) were trying to teach Noahidism. This approach is [[Judaism_and_Other_Religions#Inclusive Position|inclusivist]] & hierarchical and assumes that there are many Noahide faiths. This category includes the teachings of Rabbi [[Judah ben Samuel of Regensburg]], [[Rabbeinu Tam]], the [[Mahzor Vitri]] and more recently Rabbi [[Judah David Eisenstein]].