I think it's pretty weasely tbh.
The forces of illiberalism are gaining strength throughout the world and have a powerful ally in Donald Trump, who represents a real threat to democracy
This for example- the "forces of illiberalism" so far as free speech is concerned are the intolerant left" - not the right.
But resistance must not be allowed to harden into its own brand of dogma or coercion—which right-wing demagogues are already exploiting. The democratic inclusion we want can be achieved only if we speak out against the intolerant climate that has set in on all sides
Who are these "right wing demagogues" are they thinking of the likes of Ben Shapiro or Jordan Peterson or even Douglas Murray? Shapiro is very right wing but he has been consistent in his defence of free speech. Peterson obviously annoys the hell out of the wokerati in Canada but , like JKR, has reached levels of saleability that he's safe.
The "intolerant climate" they are referring to has been created by the left- not the right.