The construct of God in many religions is the single most blatant appeal to Might Makes Right. After all, it's not "god, kinda wimpy who'd sorta prefer things be done a certain way, but hey, if not don't sweat it", but rather "God Almighty Who Commands Us and Judges Us with Tremendously Horrible Consequence Should We Disobey (that burning in hell for all of eternity sort of thing)!". Things are good and right because God who's infinitely powerful says so and when we question Him we are told that He works in mysterious ways beyond our comprehension.
While I'm not personally religious, it's clear to me that various manifestations of gods exist in the minds of believers. There are, for example, more than one billion Roman Catholics in the world, the vast majority of which believe in their God and put some level of effort into following His Word. So their God, even if He is completely fictitious and intangible, really is amazingly powerful and mighty in that He substantially affects the feelings, thoughts, behaviors and actions of a huge number of people, both individually and collectively.
Since humans seem to have evolved a proclivity to believe in god(s), my guess is that belief was directly helpful in the survival of the fittest competition. The primary mechanism by which it made believers more fit is that it provided an organizing principle and social cohesion that not only transcended individuals, but whole tribes, the leaders of those tribes, and even whole generations (in other words, god, being immortal, transcends time).
Whether or not god exists in reality (natural or supernatural) in this context is immaterial. The difference between a real god who once created the universe but is now taking a more hands off and judging approach versus one who exists solely in the minds of believers has the identical tangible effect here on earth.
God's might is used to enforce god's word (either interpreted or made up) which acts as an organizing principal and creator of social cohesion which then creates real power.
In other words, Might Makes Right Makes Might.