Your data is bunk.Your single anecdote is not enough to disprove actual data:
The first is looking at inclusivity, not free speech. Bear in mind that the underpinning rationale of inclusivity is freedom: if you intimidate people into silence, you are denying them free speech.
The second is nothing more than a poll on how much left and right trust social media companies, and nothing to do with free speech.
The third is as dumb as rocks. It looks at about a dozen issues, all but two of which Democrats are typically more ideologically opposed to... and then shows that Democrats find them more objectionable. Gee, well done, Einsteins at the Cato Institute: next you can do a poll on whether dogs prefer eating beef or curtains. When it actually covers two relatively non-partisan issues (advocating violence, insulting the police), Democrats and Republicans turn out to be effectively indistinguishable.