Would sourcing every single point in my sarcastic comment help? Or should I just not use sarcasm?
I'm never quite clear on what the word "sarcasm" means but I think the answer to your question is yes, you should just not use it - at least not in an aggressively-argumentative way. The guidelines try to cover this with rules like "Be kind. Don't be snarky." (https://news.ycombinator.com/newsguidelines.html).
We have to ban accounts that keep posting like this, so please don't do it again.
(Needless to say, this goes for both sides of the conflict, not just one.)