This episode is a remake of The Inheritors: Part I (1964) and The Inheritors: Part II (1964), the only two-part story produced during the run of The Outer Limits (1963).
The episode title most likely refers to the passage from Matthew 5:5 "Blessed are the meek, for they will inherit the earth".
This is one of three episodes of The Outer Limits (1995) in which Don MacKay (Ollie Gibb) appears, the others being I, Robot (1995) and Feasibility Study (1997). Coincidentally, all three episodes are remakes of episodes of The Outer Limits (1963). The only remake episode in which he does not appear is Nightmare (1998).