Note what he said, "Mute her". This is what the left did to Dr. Laura's tv show before it ever went on the air.
If Mr. Winkler had the "Click" remote, he could always change the channel. Muting her is to deny her speech.
A boycott is to say "I won't pay for this". The networks, studios, publishers, etc. are free to choose sides.
In the Dr. Laura case, she didn't even get to do anything on tv they disagreed with.
Dr. Laura is a different issue - although since when was government involved? It was just enough (liberal) people getting involved enough to shut her down. That's their right.
We have the right not to watch and listen and even lobby others to not give a soapbox as much as we have to spout off ourselves. That is NOT covered by the 1st Amend (which BTW is actually only directed at Congress).