However, the centrist objection to today's leftist critical theory post-modernist rhetoric is not (as is too often asserted) "well, a little anti-semitism / sexism / racism / homo- and transphobia / genocide advocacy is okay in the interests of compromise and harmony with Nazis". This is clearly absurd, and no one reasonably would believe this. Those who spout reprehensible ideas should suffer social consequences. By all means, do not invite them to participate in your community.
The centrist objection is that the Overton window of ideas that are acceptable to express is becoming increasingly narrow while the reaction to ideas outside of this narrow band of acceptability is becoming so extreme that people who are merely misunderstood will have their lives destroyed.
Never mind "Nazi". Never mind the well-meaning Christian who has no personal animosity towards individual gay people but who sincerely believes their God said that homosexuality is a sin; we're talking a misunderstood joke (Justine Sacco; the fellows who were fired for their overheard "big dongle" joke); we're talking people appropriately using the word "niggardly" (meaning 'miserly', in use since the 1400s).
Calmly stated ideas, even the most reprehensible, must never be suppressed through violence or state sanction. Throughout history, ideas that have moved us forward ("It's wrong to keep other humans as slaves.") were met at some point with violence and suppression. A climate where the majority are convinced that deviation from a narrow band of acceptability must be met with extreme violence will suppress good ideas along with bad ideas.