It's easy to say "I'm not trying to take any sides" but way harder to practice. For example, repeating the same rhetoric used by the hateful right-wing groups, while having to repeatedly put "hateful" in quotes, as if those groups aren't hateful or something, is taking a side.
It’s also very hard to convince the left they have a hate problem as well. Read your comment again, you’re claiming that hate only comes from one side. Republicans have been called Nazis, facists, ultra mega MAGA, uneducated, all to sow hate against them. Are literally all republicans Nazis? Or facists? Or is the left being extreme and spreading hate?
You actually did, the hateful rhetoric from the right tells all anybody needs to know. If you think hateful rhetoric comes from the right then you are the problem.