They won't be anyways. The entire conservative movement is against clinate protests regardless of how few people are inconvenienced. So why bother about what they think?

No you don't lol

Empirically, the public loves radicals who engage in violence and disruption. It both moves the overton window in those people's direction and gets support from people frustrated with society but no place to vent it.

Whether it's Black Lives Matter, Donald Trump, the Gilets Jaunes, violent farmer protests in the Netherlands, Black Panthers, Suffragette terrorists, labor riots and lynchings of factory owners, the assassination of Shinzo Abe, hell, even Al Qaeda and Hamas. The pattern is always the same: radical and often violent disruptors get a massive amount of sympathy, attention and support while centrists wring their hands about how inappropriate it all is.

If you want to win public support, set something on fire. But if you're offended and scared off by something being set on fire, you're not the target audience yet. They'll get around to winning you over when the movement has grown. Eventually, bringing up that it was bad that things were set on fire will make your friends and family uncomfortable, if they don't outright confront you by saying that it was necessary to overthrow the old ideas. At which point you can re-examine it or retract that part of your politics from the world, forming a seed of conservative confusion and dismay that lies dormant outside the Overton window waiting until someone starts a fire in its name.