The word used in the [[Targum Onkelos]] to refer to [[Hagarim]] is [[Muslamai]].
Those Muslamai who wanted to go decided to observe these laws because they are part of the next level would Mishna are called [[המאמינים]]. המאמינים who take an oath of fealty in front of 3 Jews and be immersed in a Mivkah do tevilah to become [[התושבים]].