I'm going to silently fight over the thermostat with my coworker
What started this?
He doesn't respect my feelings and I hate his tyranny.
There has got to be a way to find a happy medium for this. You should not fight with your coworker, it will just make your life harder.
That's what people told me but I'm using my silence as a weapon.
If you're still doing actions while being silent then you are still doing something wrong. It can lead to a physical fight where both of you could get hurt.