I didn't think it was a serious question. But a straight "One side is the worst," answer is hard to find. I did find a Cato Institute study quoted in The Federalist. You might like the conservative sources, but not the conclusions:
"Self-censorship is on the rise since 2017." (What changed that year?)
"It’s up 12 points among progressives (30-42 percent), and up 7 points among centrist liberals (45 to 52 percent), moderates (57 percent-64 percent), and centrist conservatives (70-77 percent). Only staunch conservatives haven’t changed much."
"Also, consider how the question was asked. Respondents were asked if the political climate prevented them from saying things they believe because others might find their ideas offensive. It did not ask if standards of decency and politeness prevented them from being rude."
"Also, centrist liberals flipped from feeling free to express themselves (54 percent) in 2017 to now feeling they no longer can (52 percent) in 2020."
The opponents of "staunch conservatives" feel more targeted, while they don't. Draw your own conclusions from that data.