There's a lot about this joke that just feels slightly off, in a way that I think people don't realize in the audience. I love jokes where you can compare one thing to something else, and everyone starts dying because they immediately just get it? Not every joke could or should be like that, but I think those show that the audience lays out the information you give them faster and with better anticipation than they even notice. Like words that have the middle letters jumbled, but you can read without much or any difficult. I think you need to alter the way you tell the joke, because it makes you not get that, "That is EXACTLY like that thing, holy shit!" moment where it clicks. Here are the "speedbumps".

I'm nearly certain that calling someone a special snowflake means that they, at least in part, have a personality or thing about them that they choose to do for the purpose of being different. It's like white girls who make jokes about white girls for drinking pumpkin spice latte, as if they were somehow outside of all if it.

The joke about Jesus becoming white would suggest that we enforce the cultural status quo, so that would make us not snowflakes. You could make the argument that Jesus was a snowflake, and it's pretty much the only reason they killed him. The soldiers really made a game out of sarcastically acting like he was super important, making him a crown and shit. It's not like they were Jewish people who thought he was blasphemous, he walked around in sandals and a beard, to men who have been fighting in battle, to Pharisees who spent a lifetime studying, and was like, "Hey, guys! It's me, the 33 year old living at home with my mom! Let me tell you about how you both don't know shit compared to be". It's like how Hilary talked about Sanders in that recording, where she was like, "this pie in the sky horse shit he's telling kids needs fucking go"