Almost everyone's support of freedom of speech and any freedom is conditional and self serving, that's just human nature. Why are you going out of your way to only complain about the "illiberal left?"
That's actually the label the left has taken on themselves, blaming conservatives for it is really weird. Yes, the behavior of the modern left has little to do with the classical liberalism, but it's not the conservatives' fault that the left took on themselves this mantle and then failed to live up to it.