Although the law does not specifically mention it, there is a tradition in many Usenet newsgroups that once such a comparison is made, the thread is over, and whoever mentioned the Nazis has automatically lost whatever argument was in progress. Godwin's law thus practically guarantees the existence of an upper bound on thread length in those groups.Given that you were the first to introduce the word Nazi into the thread, you automatically lose. Or you would if this was a Usenet thread.
It is considered poor form to arbitrarily raise such a comparison with the motive of ending the thread. There is a widely-recognized codicil that any such deliberate invocation of Godwin's law will be unsuccessful.
Give it up, dude. The paragraph you quoted said nothing about the first person to use the word Nazi. It's about the first person to make the Nazi comparison, which you did with your "fuehrer" comment.
If you wish for the last word in this, you can have it, because it won't make a difference.