That would mean in this case being intolerant of leftists, as they are the ones trying to suppress ideas and debate (by "making no space for conservative ideas and attitudes").
In my experience, racism, homophobia, transphobia, slurs, misogyny, and general bigotry almost exclusively resonates from conservatives. So naturally when those opinions get filtered out that almost only affects conservatives.
There's nothing wrong with having conservative ideas and attitudes. But are you able to express them without bigotry? Are you able to be pro-life without calling women sluts and whores, for instance?
The answer for some conservatives is no, including our president elect. Nobody is required or even expected to tolerate that, and in fact tolerating it only spreads intolerance.