In the big picture, culture progresses towards equality over time, although it see-saws and moves very slowly relative to a human lifespan. Small minorities of hate groups, for example KKK, are not able to influence society in the long-run because their message is antithetical to this natural imperative. Whereas advocacy for racial minorities, gender minorities, and feminism progresses over time.
Several thousand years of human history in fact argues for their point of tendency towards equality being a natural imperative, and artificially enforced caste systems being unnatural and instinctively distasteful to people.
Nothing says "instinctively distasteful caste systems" like the ongoing meat grinder in Gaza. Truly the pinnacle of humanity's natural drift toward equality.
The majority of people are horrified when they become aware of what's happening in Gaza. Personally I think a large majority of those that support it are sheltered from the reality of it, e.g. avoid seeing images of assassinated children.
You declare what this is democratic. Declaring the same by a country from the other side of the planet also helps. Worked fine for a certain democratic country in 2014.
seems is the key word. 3.5% - or any other % - actively engaging doesn't mean that if you cast a vote, 3.5% would support. Probably an order of magnitude more. People tend to be inert, even when they agree with something.
However, sometimes it is true that small minorities can hassle everyone until they get their way. This usually happens through lobbying, corruption and misinformation though, way easier than a peaceful protest if you are a small minority; with the added benefit of appearing to have a big majority of the population in your favor. See what populist far right movements are doing right now throughout the world.
What if the small minority is being oppressed and killed? There are so many reasons why a small minority might need to protest within a democracy. "This seems anti democratic" is a bizarre take.