I was just reading the beginning of Nietzsche's "Beyond Good and Evil" and came upon his point about "master-morality" and "slave-morality". As this opens up the possibility to assume either the point of view of "slave morals" (which I guess according to Nietzsche would be all morals up to this point?) or - as Nietzsche does - the point of view of "master morals", has someone worked on an argument why it is inherently false to assume the point of view of "master morals" without making a moral claim (e.g. not some sort of utilitarian argument, or in essence saying that it's immoral to adhere to "master morals")? Or does Nietzsche just open up some sort of moral dilemma where there is no binding morality any longer and no one has solved this yet?
To be more precise: I'm less interested in an argument against Nietzsche himself, than in an argument against some followers of him - namely guys from the Alt-Right - which choose "master-morality" as their guiding principle. I feel like since Nietzsche defending the point of "slave-morality" against someone who is a fan of "master-morality" is practically impossible. If I try to argue some point according to "slave-morality" someone who has "master-morality" could just say "Well that's all nice and fine, but I believe that master-morality is the way for humanity to go.", and then what? ;)
(I'm sorry if I confused some of Nietzsche's standpoints or the question is stupid, I just started reading him - but I guess my question should still be understandable.)