Re: "Punching Nazis"
There actually is an argument to be made that the "Nazi" label rightfully applies, which is presented in an update to the Dogpatch Press article linked in the BAR post which directly responds to it. (It also mentions a previous furry-related hoax that the BAR writer created, which certainly deserves its own critique.)
Finally, there's this Twitter post worth highlighting:
"Possible alternative take: It's rarely (but sometimes) okay to enact physical violence against one's political enemies, but *celebrating* that violence is an act that should be looked down upon
"(The correct stance is a deep seriousness and anguish)"