It not just conservatives. Our local left wing is furious at our city council and officials for permitting the Klan and other various and sundry white supremacists to march in Cville and for not having already taken down the Lee & Jackson statues. They even have a lawyer and a UVA prof in their mix, but apparently none of their high school history textbooks made it to Skokie IL. Add to that, it's been widely reported locally that federal Judge Conrad issued an injunction against the city for trying to move the 8/12 rally to a different location, and a local circuit judge issued a preliminary injunction against the city to prevent them from moving the Lee statue until he hears the entire case this Winter (and city council has not yet voted to remove the Jackson statue). There are plenty of wingnuts in both parties who wish to live in an insular, post-fact world and want to restrict the other side's speech.
What group are you referring to?