That is a very good point and a natural problem for liberal or left wing movements in the United States today compared to labor action and civil rights in the early and mid 20th century.
In Russia, conservative movements have strong government backing and, more importantly, even stronger and more experienced organizers who are willing to dominate the streets in public with organized and targeted protests clearly covered by a media ready to push the message. Violence is reserved for behind the scenes attacks on opposition leaders.
In the United States, it's not nearly that bad, but left wing and liberal protests are very diffuse with a lot of differing and opposing interests drawing focus away from the actual point of the protest. Meawhile, very right wing conservative political action is almost (and sometimes simply is) paramilitary in its organization, clear in its message and supported by widespread social media and alternative media platforms constantly reiterating their points and even market-testing them with the mainstream.
However, much of the problem is endemic to the far left position which has never been able to gain much of a foothold in American culture. It was probably the best organized in the early 20th century, but Red Scare and post war Anti-Communist activities developed very effective ways of counteracting and dismantling the Left. CoIntelPro often used plants to turn peaceful Civil Rights and Anti-War protests into violent ones to discredit the movements. Now, it's at the point that leftist and liberal movements risk losing more with a protest than they have to gain.
This has been true since the 70's really when an anti-war movement really had little effect on stopping the Vietnam War for a decade. It started out as a movement of educated people and clean-cut college students who simply wanted to stop senseless violence and quickly became perceived as a bunch of dangerous, lazy hippies who wanted to overthrow democracy and turn your children on to pot and LSD.
The movement against the Iraq War was the biggest worldwide anti-War movement in history and it had even less of an effect on that conflict. They aren't working.