The movement was characterized by nonviolent mass protests and civil disobedience following highly publicized events such as the lynching of Emmett Till. These included boycotts such as the Montgomery bus boycott, "sit-ins" in Greensboro and Nashville, a series of protests during the Birmingham campaign, and a march from Selma to Montgomery.
Eh, none of that seems to fall into either of the buckets you describe, other than maybe sit-ins "targeting" racist owners of restaurants. Plus, I know this is annoying but... source? Any data backing that claim?
Re:JustStopOil, they also regularly target banks and private jets. It's just that those protests get much less attention in the press, and draw harsher criminal punishments. How else do you make progress on changing laws other than convincing voters that it's a problem?
Assuming we can't just do what the US did for civil rights and rely on an unusually powerful judiciary to save the day via anti-democratic fiat ;)