If you disagree, then you can spend YOUR money with that provider to offset one of the boycotters.
It's called freedom.
If someone wants to boycott a company because they disagree with a stance a company has taken, that hardly makes them a “thug”. It’s their money. They can use it how they want. If they want to organize with others who feel the same way and conduct a “boycott”, there’s nothing wrong with that.
My issue with the boycotters is more along the lines of having all the facts. With social media it’s easier than ever to whip people people into a frenzy. Look at OWS, most don’t even know what they’re protesting, I think it was the same thing that happened here.