If by "might makes right" one merely means (positively) that "might ends up getting its way", then (like the operation of gravity) it is certainly true that that is "the way the world works". But by itself, that is just a trite truism - and a circular, question-begging one at that (since, if one fails to get one's way for whatever reasons, one can, ipso facto, simply be deemed to have been insufficiently "mighty").
But if by "might makes right" one means (normatively) that "might" is justified in whatever it does merely because it was "mighty" enough to get its way, then that, too, is just a "mere veneer" of a "set of rules, ethics, and morality", with nothing more to recommend it than any other.
Indeed, it has even less to recommend it than any other. As true as it may be in a positive sense (and as necessary as it is for any set of rules, ethics, and morality to recognize and adequately account for that truth), it is by itself of no use as a guide to one's actions (or to one's responses to the actions of others). Like all species of "pure" utilitarianism, it can address only questions of means, but not of the ends to which those means are applied. Outside of any "set of rules, ethics, and morality" that accounts for it (but does not merely reduce to it), "might makes right" is just an expression of sterile and pointless nihilism.
ETA / IOW / TL;DR: "rightness" has to be "mighty", but "mightiness" does not make "rightness" (i.e., might does not make right).