> Without breaking laws and causing public nuisance India would still be part of the British Empire and African Americans would still be second class citizens. Climate change is a vastly more serious problem than either of those two.
Sure, but it's also a vastly more complex problem. Those examples consisted of specific regimes which protestors wanted to change in specific ways, and making enforcing the law more trouble than it was worth for those regimes was a simple and logical route to achieving that change.
I don't see the same logical connection between the large-scale technological and institutional change across the entire globe needed to avert climate change and some guy in London with a drone ruining people's holidays.
If you're trying to achieve complex behavioural changes as opposed to rendering a bad law unenforceable, it's probably a good idea not to pursue a strategy consisting solely of irritating the general public.