One of Nietzsche's finest contributions was the demonstration that one can reject the moral presuppositions of Judeo-Christian society out of good taste, rather than merely acting like a cartoon villain. You, on the other hand, are playing a "evil" role poorly written by that society, and hamming it up at that.

To put it more succinctly: Nietzsche didn't advocate playing Chaotic Evil instead of playing Lawful Good; he advocated rejecting the alignment system as ridiculous, and pursuing more genuine values. Don't bring him into your LARPing.