On the other hand, if you are successful at being convincing (and loud enough) for a minority community you can achieve a lot of good! LGBTQ+ activists have made the lives of young non-binary folks so much better in just the last 30 years: they are a minority, but they were loud and convincing that "maybe we should treat people equally (e.g. right to marry) even if their sexual proclivities are different from our own!"
Groups that really change the shape of society ultimately have to be loud if they're underrepresented, and make a lot of people uncomfortable. Frederick Douglass was a free black man, which was rare for the time. He used his very minority voice to make a racket that helped propel centuries of social change for the better. Would you prefer he didn't succeed / couldn't have a platform? It's still up to loud minority communities to actually be convincing, after all. All the hate campaigning like those "god hates fags" stuff won't ever get anywhere because it's not convincing to most people.
When you engage in activism on behalf of $GROUP you’re affecting the relationship of everyone in the group with the larger society.