Dunno about many, but there are clearly some, and often in positions of power. Popehat has often unsettling stories about "censorious dipshits", from any political position: https://www.popehat.com/

You're sort of proving my point. "We aren't using the force of law to silence you... yet" is not the same sentiment as "We defend to the death your right to express your opinion." Meanwhile, on the real free-speech issues of the day, liberals are furious about Citizens United and are jubilant about Net Neutrality.