Standing in the street isn't going to "stop the war juggernaut" either. But that isn't really the point of such a protest, is it?

In a representative democracy you get your main voice at election time. Between those elections it is up to the representatives to run the government. They may even run it in a way that a substantial minority disagree with. In fact that is almost certainly going to be the case. Or for that matter, they may even run it in a way that the majority disagree with. But when that happens, that majority gets to toss them out at the next election. What doesn't happen though is the minority don't get to break the law just because they are frustrated that they are in the minority. They can still protest and organize, but generally only by lawful means.

Now, as I said before there is an exception when a minority simply has no voice. For example, a minority that is discriminated against or legally disenfranchised. But that isn't the case here and any talk about disenfranchisement is self-indulgant claptrap.