You started with a question of a religious nature and then immediately switched to a secular issue.
There is no connection between kiddush hashem and democracy. Democracies are not built on religious values just the opposite. In fact you constantly rage against the democratic principles of both Israel and the US.
So the reality is, the peleg people are using a zionistic/secular “right” to protest to attempt to promote a religious value. I think we can all see the irony and hypocrisy.
In addition. From the creation of our religion till now, it was never the desire of gedoli yisroel who were having a machlokes that the masses get involved. Because the masses always violate Halacha when they get involved. Whether it’s lashon hara or more serious breaches. And they can never fathom the intent of a gadol. Our history is replete with examples of this, the masses distorting and creating large rifts with the “right intentions ” of upholding their “rebbes honor”. One of my rebbeim in yeshiva used to say on this “the road to Gehennim is paved with all these good intentions ”
Which is why truly frum people always wait for specific instructions from the gedolim before joining protests etc.