The word used in the [[Targum Onkelos]] to refer to such people is [[Muslamai]]and in Hebrew is Meshulamim meaning those in covenant with G-d.
Those Muslamai Meshulamim who decided to observe these laws because they are part of Judaism's Oral Torah revealed at Mount Sinai are called [[Ma'aminim]]. Ma'aminim who decide to use Jewish Scriptures while replacing Jewish theology with their own ideas are called [[Supersessionists]]. Though Ma'amanim should take an [[Oath-Brit]] of fealty in front of 3 Jews and do tevilah, some people have been recognized by the Israeli Rabbinut as [[Chassidei Umos HaOlam]] apparently without those criterial applying. They are called [[התושבים]] in the Torah.
Noahites are called [[התושבים]] in the Torah. Please read through [[God-Fearers_and_the_Identity_of_the_Sabians]] for more information.
