it's hard to put numbers to words, but I doubt "a significant portion of western society [is] outraged that anyone would protest it" - likely, it's very small but influential and/or wealthy.
They're good at influencing opinions. Half of America voted for a person with dementia. Those who can make you believe absurdities can make you commit atrocities.
Of course we haven't actually defined what we mean by significant, so I suppose we will have to drop back to that old standby of 5%.